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Development of powerful algorithm for maximal eigenpair
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作者 Mu-Fa CHEN Yue-Shuang LI 《中国数学前沿:英文版》 SCIE CSCD 2019年第3期493-519,共27页
Based on a series of recent papers, a powerful algorithm is reformulated for computing the maximal eigenpair of self-adjoint complex tridiagonal matrices. In parallel, the same problem in a particular case for computi... Based on a series of recent papers, a powerful algorithm is reformulated for computing the maximal eigenpair of self-adjoint complex tridiagonal matrices. In parallel, the same problem in a particular case for computing the sub-maximal eigenpair is also introduced. The key ideas for each critical improvement are explained. To illustrate the present algorithm and compare it with the related algorithms, more than 10 examples are included. 展开更多
关键词 POWERFUL ALGORITHM MAXIMAL eigenpair sub-maximal eigenpair Hermitizable TRIDIAGONAL MATRIX
Analysis on relationship of parameters such as R5 and MEFV with severity of chronic cough in 3 to 5 years old children by impulse oscillometry detection
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作者 Ming-Li Li Wei Huang +2 位作者 Yan-Qi Liu Gao-Wei Ren Ling Liu 《海南医科大学学报(英文版)》 2019年第11期48-52,共5页
Objective:The article aims to investigate the relationship of parameters such as airway vicosity resistance (R5) and maximal expiratory flow-volume curve (MEFV) with severity of chronic cough in 3 to 5 years old child... Objective:The article aims to investigate the relationship of parameters such as airway vicosity resistance (R5) and maximal expiratory flow-volume curve (MEFV) with severity of chronic cough in 3 to 5 years old children by impulse oscillometry (IOS) detection when the oscillation frequency is 5Hz.Method: The article chooses eighty children with chronic cough who were diagnosed or treated in our hospital from March 2017 to March 2018 as the research group, and chooses 50 healthy children who had physical examination in our hospital as the control group. Children's asthma control test (C-ACT) is used to assess the disease severity of children. MEFV detection is carried out to the two groups of children to obtain the ratio of forced expiratory volume in one second and forced vital capacity (FEV1/FVC) and the peak expiratory flow (PEF). LsS inductance (X5) is detected by IOS when R5, the resonant frequency (Fres), and the oscillation frequency is 5Hz. The relationship of ACT score with MEFV and IOS indicators is analyzed by Pearson correlation. The receiver operating characteristic (ROC) curve is used to evaluate the diagnostic value of MEFV and IOS indicators to chronic cough. Results: The C-ACT score of the severe group is significantly lower than that of the control group (P<0.05). FEV1/FVC and PEF of the mild and severe groups are both lower than those of the control group, and FEV1/FVC and PEF of the severe group is lower than those of the mild group (P<0.05). Fres, R5 and X5 of the mild and severe groups are significantly higher than those of the control group, and Fres, R5 and X5 of the severe group are higher than the mild group (P<0.05). FEV1/FVC and PEF are positively correlated with C-ACT score (P<0.05), while Fres, R5 and X5 are negatively correlated with C-ACT score (P<0.05). FEV1/FVC and PEF respectively shows significant negative correlations with Fres, R5 and X5 (P<0.05). R5 has a self-high ROC value of 0.938, followed by Fres, which is 0.917. And the value of IOS diagnostic indicators is higher than 展开更多
关键词 CHILDREN COUGH MAXIMAL Expiratory Flow-Volume Curve Impulse OSCILLOMETRY
Threshold for maximal electroshock seizures(MEST)at three developmental stages in young mice
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作者 DEAR EDITOR 《动物学研究》 CAS CSCD 2019年第3期231-235,共5页
Early brain development after birth is extremely dynamic,suggest!ng that potential functional changes occur during this period.In this study,the maximal electroshock seizure threshold(MEST)was used to explore the elec... Early brain development after birth is extremely dynamic,suggest!ng that potential functional changes occur during this period.In this study,the maximal electroshock seizure threshold(MEST)was used to explore the electrophysiological variation among three developmental stages in young mice(no more than 5 weeks old).The induced electroshock seizure(ES)behavior of early post natal mice(1-2-weeks old)differed from that during weaning(3 weeks old)and early puberty(4-5-weeks old).Thus,we further explored their respective characteristic responses to the ES parameters.When the stimulation current(SC)was limited to 4.0 mA,only the 1-2-week-old mice were induced to exhibit ES behavior at voltages of 30 V and 40 V,indicating they were more sensitive to maximal electroshock seizure(MES)(response to lower voltage). 展开更多
关键词 MAXIMAL ELECTROSHOCK seizures YOUNG MICE
Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p^3
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作者 Qin Hai ZHANG 《数学学报:英文版》 SCIE CSCD 2019年第7期1179-1189,共11页
Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p^3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonme tacyclic of or... Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p^3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonme tacyclic of order p^3. In this paper, the P1-groups are classified, and as a by-product, we prove the Hughes' conjecture is true for the P1-groups. 展开更多
关键词 Finite P-GROUPS a MINIMAL nonabelian SUBGROUP the HUGHES SUBGROUP P-GROUPS of MAXIMAL class
On Splitting of the Normalizer of a Maximal Torus in E6(q)
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作者 Alexey Galt Alexey Staroletov 《代数集刊:英文版》 SCIE CSCD 2019年第2期329-350,共22页
Let G be a finite group of Lie type E6 over Fq (adjoint or simply connected) and W be the Weyl group of G. We describe maximal tori T such that T has a complement in its algebraic normalizer N(G, T). It is well known ... Let G be a finite group of Lie type E6 over Fq (adjoint or simply connected) and W be the Weyl group of G. We describe maximal tori T such that T has a complement in its algebraic normalizer N(G, T). It is well known that for each maximal torus T of G there exists an element w ∈ W such that N(G, T )/T ■ CW(w). When T does not have a complement isomorphic to CW(w), we show that w has a lift in N(G, T) of the same order. 展开更多
关键词 finite group of LIE type MAXIMAL TORUS ALGEBRAIC NORMALIZER split extension
On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity
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作者 Hammadi ABIDI Ping ZHANG 《数学年刊:B辑英文版》 SCIE CSCD 2019年第5期643-688,共46页
In this paper, the authors first consider the global well-posedness of 3-D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coe... In this paper, the authors first consider the global well-posedness of 3-D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coefficient is sufficiently close to some positive constant in L∞and the initial velocity is small enough in B3,10(R3). With some thermal conductivity in the temperature equation and with linear buoyancy force θe3 on the velocity equation in the Boussinesq system, the authors also prove the global well-posedness of such system with initial temperature and initial velocity being sufficiently small in L1(R3)and B3,10(R3) respectively. 展开更多
关键词 BOUSSINESQ systems LITTLEWOOD-PALEY theory VARIABLE VISCOSITY MAXIMAL REGULARITY of heat equation
Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting
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作者 Xianming HOU Huoxiong WU 《中国数学前沿:英文版》 SCIE CSCD 2019年第3期535-550,共16页
We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhi... We establish the limiting weak type behaviors of Riesz transforms associated to the Bessel operators on IR+. which are closely related to the best constants of the weak type (1,1) estimates for such operators. Meanwhile, the corresponding results for Hardy-Littlewood maximal operator and fractional maximal operator in Bessel setting are also obtained. 展开更多
关键词 LIMITING weak-type BEHAVIORS BESSEL OPERATORS Riesz transforms maximal OPERATORS
Pretreatment serum albumin/globulin ratio as a prognostic biomarker in metastatic prostate cancer patients treated with maximal androgen blockade
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作者 Ning Wang Jian-Ye Liu +6 位作者 Xiong Li Min-Hua Deng Zhi Long Jin Tang Kun Yao Yi-Chuan Zhang Le-Ye He 《亚洲男性学杂志:英文版》 SCIE CAS CSCD 2019年第1期56-61,共6页
The pretreatment serum albumin/globulin ratio (AGR)has been used as a prognostic biomarker for various cancer types.However, the prognostic value of the AGR for prostate cancer,especially for metastatic prostate cance... The pretreatment serum albumin/globulin ratio (AGR)has been used as a prognostic biomarker for various cancer types.However, the prognostic value of the AGR for prostate cancer,especially for metastatic prostate cancer (mPCa)after maximal androgen blockade (MAB),remains unclear.The aim of this study was to evaluate the prognostic value of the pretreatment serum AGR for mPCa treated with MAB.This retrospective study included 214 mPCa patients receiving MAB from October 2007 to March 2017. The correlation of the AGR with survival was estimated using Kaplan-Meier analysis and Cox proportional hazards models.The cutoff value of the AGR was 1.45 according to the receiver operating characteristic curve.Kaplan-Meier analysis demonstrated that patients with a low AGR (<1.45)had poor outcomes in terms of progression-free survival (PFS)and cancer-specific survival (CSS). Multivariate Cox analyses showed that the AGR was an independent predictor of PFS (hazard ratio [HR]=0.642;95%confidence interval [CI]:0.430-0.957;P=0.030)and CSS (HR =0.412;95%CI:0.259-0.654;P<0.001).Furthermore,in a subset of 79 patients with normal serum albumin levels (≥40.0 g l^-1),the serum AGR remained an independent predictor of CSS (P=0.009). The pretreatment AGR was an independent prognostic biomarker for PFS and CSS in patients with mPCa receiving MAB.In addition,the AGR remained effective for the prediction of CSS in patients with normal albumin levels (≥40 g l^-1).However,further prospective studies are needed to confirm our conclusions. 展开更多
关键词 albumin/globulin RATIO MAXIMAL ANDROGEN BLOCKADE metastatic prostate cancer prognosis survival
A FOUR-WEIGHT WEAK TYPE MAXIMAL INEQUALITY FOR MARTINGALES 预览
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作者 任颜波 《数学物理学报:B辑英文版》 SCIE CSCD 2019年第2期413-419,共7页
In this article, some necessary and sufficient conditions are shown in order that weighted inequality of the form ∫{f^*>λ}Φ1(λw1)w2dP≤C∫Ω^Φ2(C|f∞|w3)w4dP holds a.e. for uniformly integrable martingales f =... In this article, some necessary and sufficient conditions are shown in order that weighted inequality of the form ∫{f^*>λ}Φ1(λw1)w2dP≤C∫Ω^Φ2(C|f∞|w3)w4dP holds a.e. for uniformly integrable martingales f =(fn)n≥0 with some constant C > 0,where Φ1,Φ2 are Young functions, wi(i = 1,2,3, 4) are weights, f^*=sup n≥0 |fn| and f∞=lim n→∞ fn a.e. As an application, two-weight weak type maximal inequalities of martingales are considered, and particularly a new equivalence condition is presented. 展开更多
关键词 WEIGHT WEAK TYPE inequality MARTINGALE MAXIMAL operator Young function
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Compactness for the commutators of multilinear singular integral operators with non-smooth kernels 预览
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作者 BU Rui CHEN Jie-cheng 《高校应用数学学报:英文版(B辑)》 SCIE CSCD 2019年第1期55-75,共21页
In this paper,the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered.By some new maximal functions t... In this paper,the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered.By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(Rn)functions,compactness for the commutators is proved. 展开更多
关键词 singular integral OPERATOR maximal function weighted norm inequality COMMUTATOR compact OPERATOR
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Predictors of 2 Kilometer Rowing Ergometer Time Trial Performance 预览
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作者 Jason W. Metz Fredric L. Goss +2 位作者 Robert J. Robertson Elizabeth F. Nagle John P. Abt 《运动科学:英文版》 2019年第3期81-87,共7页
Predictors of performance can aid coaches and trainers in prescribing exercise programs for rowing athletes. To date, most of the prediction models have been developed for runners and cyclists. Purpose: The aim of thi... Predictors of performance can aid coaches and trainers in prescribing exercise programs for rowing athletes. To date, most of the prediction models have been developed for runners and cyclists. Purpose: The aim of this study was to develop a regression model to predict performance of a simulated 2 kilometer rowing ergometer time trial. Methods: A group of mixed gender rowing athletes (n = 12) completed in a counterbalanced order a 2 kilometer rowing time trial and a continuous progressively incremented graded exercise test on a rowing ergometer. Subjects were 23.91 ± 4.99 years old, weighed 79.14 ± 12.85 kg, were 187.38 ± 12.60 cm, had a VO2max of 55.48 ± 10.32 mL/kg/min and had 3.17 ± 2.79 years of rowing experience. Physiological measures were recorded during both testing protocols. Results: Maximum power/stroke ratio (r =-0.96, p < 0.001), power/stroke ratio at the ventilatory breakpoint (r =-0.90, p < 0.001), maximal oxygen uptake (r =-0.84, p < 0.001) and oxygen uptake at the ventilatory breakpoint (r =-0.82, p < 0.001) were found to be strong and significant predictors of 2 kilometer rowing performance. Conclusion: The four significant predictors of rowing performance suggest training should focus on improving both aerobic capacity and strength. Practical Application: Rowing training should focus on developing hip and leg aerobic and anaerobic capacities to improve performance. Developing strength improves mechanical efficiency as well as raising anaerobic thresholds allowing athletes to utilize a larger portion of their aerobic capacity. 展开更多
关键词 MAXIMAL oxygen UPTAKE ventilatory threshold power/stroke ratio.
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Determinants of inspiratory muscle function in healthy children
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作者 Theodore Dassios Gabriel Dimitriou 《运动与健康科学:英文版》 SCIE 2019年第2期183-188,共6页
Background: Children are affected by disorders that have an impact on the respiratory muscles. Inspiratory muscle function can be assessed by means of the noninvasive tension–time index of the inspiratory muscles(TTI... Background: Children are affected by disorders that have an impact on the respiratory muscles. Inspiratory muscle function can be assessed by means of the noninvasive tension–time index of the inspiratory muscles(TTImus). Our objectives were to identify the determinants of TTImus in healthy children and to report normal values of TTImus in this population.Methods: We measured weight, height, upper arm muscle area(UAMA), and TTImusin 96 children aged 6–18 years. The level and frequency of aerobic activity was assessed by questionnaire.Results: TTImuswas significantly lower in male subjects(0.095 ± 0.038, mean ± SD) compared with female subjects(0.126 ± 0.056)(p = 0.002).TTImus was significantly lower in regularly exercising(0.093 ± 0.040) compared with nonexercising subjects(0.130 ± 0.053)(p < 0.001). TTImus was significantly negatively related to age(r =-0.239, p = 0.019), weight(r =-0.214, p = 0.037), height(r =-0.355, p < 0.001), and UAMA(r =-0.222, p = 0.030). Multivariate logistic regression analysis revealed that height and aerobic exercise were significantly related to TTImus independently of age, weight, and UAMA. The predictive regression equation for TTImus in male subjects was TTImus = 0.228-0.001 × height(cm), and in female subjects it was TTImus = 0.320-0.001 × height(cm).Conclusion: Gender, age, anthropometry, skeletal muscularity, and aerobic exercise are significantly associated with indices of inspiratory muscle function in children. Normal values of TTImus in healthy children are reported. 展开更多
关键词 AEROBIC EXERCISE Children Inspiratory MUSCLE FUNCTION MAXIMAL inspiratory pressure SKELETAL MUSCLE FUNCTION Tension-time index of the inspiratory muscles
Maximal admissible mode decision delay in terminal guidance
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作者 Shengwen XIANG Tiancheng LI +2 位作者 Wei CHEN Hongqi FAN Qiang FU 《中国航空学报:英文版》 SCIE EI CAS CSCD 2019年第8期1959-1966,共8页
Mode decision-maker is a critical component in the logic-based Integrated Estimation and Guidance(IEG) system. For the best possible estimation and guidance performance, the mode decision delay of the mode decision-ma... Mode decision-maker is a critical component in the logic-based Integrated Estimation and Guidance(IEG) system. For the best possible estimation and guidance performance, the mode decision delay of the mode decision-maker should be limited to a range as small as possible. This paper presents a numerical method for computing the maximal admissible mode decision delay that varies with time-to-go. Particular attention has been paid to highly maneuvering target interception in terminal guidance. The results of this research offer useful guidelines for the design of the mode decision-maker in IEG systems. 展开更多
关键词 Highly maneuvering target INTERCEPTION Integrated Estimation and Guidance MAXIMAL ADMISSIBLE MODE decision DELAY MODE DECISION-MAKER Numerical methods
Martingale Musielak-Orlicz Hardy spaces
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作者 Guangheng Xie Yong Jiao Dachun Yang 《中国科学:数学英文版》 SCIE CSCD 2019年第8期1567-1584,共18页
In this article,we introduce the martingale Musielak-Orlicz Hardy spaces H_φ^*(■),Pφ(?),H_φ^S(■),Qφ(?)and H_φ^s(■),respectively,via the maximal function,the quadratic variation and the conditional quadratic va... In this article,we introduce the martingale Musielak-Orlicz Hardy spaces H_φ^*(■),Pφ(?),H_φ^S(■),Qφ(?)and H_φ^s(■),respectively,via the maximal function,the quadratic variation and the conditional quadratic variation of martingales.We then establish the atomic characterizations of H_φ^s(■),Pφ(■)and Qφ(■).As applications,we obtain the dual space of H_φ^s(■)and several martingale inequalities which further clarify the relations among H_φ^*(■),Pφ(■),H_φ^S(■),Qφ(■)and H_φ^s(■).Especially,as special cases,the results on atomic characterizations of H_φ^s(■),Pφ(?)and Qφ(■)as well as on the dual space of H_φ^s(■)in the weighted case are also new. 展开更多
关键词 MARTINGALE Musielak-Orlicz Hardy space maximal function QUADRATIC VARIATION CONDITIONAL QUADRATIC VARIATION atom DUALITY
Closed Strong Spacelike Curves, Fenchel Theorem and Plateau Problem in the 3-Dimensional Minkowski Space
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作者 Nan YE Xiang MA 《数学年刊:B辑英文版》 SCIE CSCD 2019年第2期217-226,共10页
The authors generalize the Fenchel theorem for strong spacelike closed curves of index 1 in the 3-dimensional Minkowski space, showing that the total curvature must be less than or equal to 2π. Here the strong spacel... The authors generalize the Fenchel theorem for strong spacelike closed curves of index 1 in the 3-dimensional Minkowski space, showing that the total curvature must be less than or equal to 2π. Here the strong spacelike condition means that the tangent vector and the curvature vector span a spacelike 2-plane at each point of the curve γ under consideration. The assumption of index 1 is equivalent to saying that γ winds around some timelike axis with winding number 1. This reversed Fenchel-type inequality is proved by constructing a ruled spacelike surface with the given curve as boundary and applying the Gauss-Bonnet formula. As a by-product, this shows the existence of a maximal surface with γ as the boundary. 展开更多
关键词 Fenchel THEOREM Spacelike CURVES Total CURVATURE MAXIMAL surface
Convergence of Solutions of General Dispersive Equations Along Curve
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作者 Yong DING Yaoming NIU 《数学年刊:B辑英文版》 SCIE CSCD 2019年第3期363-388,共26页
In this paper, the authors give the local L2 estimate of the maximal operator Sφ,γ* of the operator family {St,φ,γ} defined initially by ■which is the solution(when n = 1) of the following dispersive equations(*)... In this paper, the authors give the local L2 estimate of the maximal operator Sφ,γ* of the operator family {St,φ,γ} defined initially by ■which is the solution(when n = 1) of the following dispersive equations(*) along a curve γ:■where φ : R+→R satisfies some suitable conditions and φ((-?)1/2) is a pseudo-differential operator with symbol φ(|ξ|). As a consequence of the above result, the authors give the pointwise convergence of the solution(when n = 1) of the equation(*) along curve γ.Moreover, a global L2 estimate of the maximal operator Sφ,γ* is also given in this paper. 展开更多
关键词 L~2 ESTIMATE Global MAXIMAL OPERATOR DISPERSIVE equation CURVE
The Rigidity of Hypersurfaces in Euclidean Space
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作者 Chunhe LI Yanyan XU 《数学年刊:B辑英文版》 SCIE CSCD 2019年第3期439-456,共18页
In the present paper, the rigidity of hypersurfaces in Euclidean space is revisited.The Darboux equation is highlighted and two new proofs of the rigidity are given via energy method and maximal principle, respectively.
关键词 Global RIGIDITY INFINITESIMAL RIGIDITY Energy method MAXIMAL PRINCIPLE
Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity
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作者 Xiaoshan QIN Yanhua WANG James ZHANG 《中国数学前沿:英文版》 SCIE CSCD 2019年第5期923-940,共18页
We study properties of graded maximal Cohen-Macaulay modules over an N-graded locally finite,Auslander Gorenstein,and Cohen-Macaulay algebra of dimension two.As a consequence,we extend a part of the McKay corresponden... We study properties of graded maximal Cohen-Macaulay modules over an N-graded locally finite,Auslander Gorenstein,and Cohen-Macaulay algebra of dimension two.As a consequence,we extend a part of the McKay correspondence in dimension two to a more general setting. 展开更多
关键词 Noncommutative quasi-resolution Artin-Schelter regular algebra Maximal Cohen-Macaulay module pretzeled quivers
Waist circumference thresholds and cardiorespiratory fitness
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作者 Sindre M.Dyrstad Elisabeth Edvardsen +1 位作者 Bjorge H.Hansen Sigmund A.Anderssen 《运动与健康科学:英文版》 SCIE 2019年第1期17-22,共6页
Purpose: This study’s purpose was to examine whether established risk categories of waist circumference(WC)-normal, high risk, and very high health risk-reflected significant differences in cardiorespiratory fitness(... Purpose: This study’s purpose was to examine whether established risk categories of waist circumference(WC)-normal, high risk, and very high health risk-reflected significant differences in cardiorespiratory fitness(CRF) and physical activity(PA) level.Methods: CRF was directly measured as maximal oxygen uptake during a progressive graded treadmill test to exhaustion in 722 individuals(349 women) aged 20à85 years. WC was measured between the lower rib and the iliac crest. Objectively measured PA was assessed using an accelerometer.Results: Men in the normal risk group(WC < 94 cm) had a 31% higher CRF and 43% higher level of moderate-to-vigorous PA than men in the very high risk group(with a WC > 102 cm). Corresponding numbers for women within normal(WC < 80 cm) and very high risk group(WC > 88 cm) were 25% and 18%(p < 0.05). There was a high negative correlation between CRF and WC in men(r = -0.68), and a moderate correlation for women(r = -0.49;p < 0.001). For each cm increase in WC, CRF was reduced by 0.48 and 0.27 mL/kg/min in men and women,respectively(p < 0.001).Conclusion: The recommended WC thresholds for abdominal obesity reflected significant differences in CRF for both men and women, and could serve as a useful instrument for estimating health-related differences in CRF. 展开更多
关键词 ABDOMINAL OBESITY Fit fat MAXIMAL oxygen UPTAKE OBESITY Public health WAIST CIRCUMFERENCE
Equivalent characterizations of Hardy spaces with variable exponent via wavelets
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作者 Xing FU 《中国数学前沿:英文版》 SCIE CSCD 2019年第4期737-759,共23页
Via the boundedness of intrinsic g-functions from the Hardy spaces with variable exponent,Hp(·)(Rn),into Lebesgue spaces with variable exponent,Lp(·) (Rn),and establishing some estimates on a discrete Little... Via the boundedness of intrinsic g-functions from the Hardy spaces with variable exponent,Hp(·)(Rn),into Lebesgue spaces with variable exponent,Lp(·) (Rn),and establishing some estimates on a discrete Littlewood-Paley g-function and a Peetre-type maximal function,we obtain several equivalent characterizations of Hp(·)(Rn) in terms of wavelets,which extend the wavelet characterizations of the classical Hardy spaces.The main ingredients are that,we overcome the difficulties of the quasi-norms of Hp(·)(Rn) by elaborately using an observation and the Fefferman-Stein vector-valued maximal inequality on Lp(·)(Rn),and also overcome the difficulty of the failure of q =2 in the atomic decomposition of Hp(·) (Rn) by a known idea. 展开更多
关键词 HARDY space Peetre-type MAXIMAL function LITTLEWOOD-PALEY G-FUNCTION variable EXPONENT wavelet atom
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