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国家自然科学基金(10671147): 作品数：27被引量：52H指数：5; 导出分析报告; 相关作者：刘培德金雁鸣焦勇任颜波于林更多>>; 相关机构：武汉大学三峡大学河南师范大学河南科技大学更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《济南大学学报（自然科学版）》《数学杂志》《数学学报（中文版）》更多>>; 相关主题：MARTINGALE原子分解WEAK加权不等式复合算子更多>>; 相关领域：理学更多>>

A New Characterization of p-Smoothable Banach Spaces: 《Acta Mathematica Sinica,English Series》2011年第5期1005-1010,共6页Yan Bo REN You Liang HOU; Supported by National Natural Science Foundation of China （Grant No. 10671147）; In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space wpHα^s（X） is given. As an application, p-smoothable Banach spaces are characterized in terms of bounded subl...; 关键词：MARTINGALE weak Hardy space atomic decomposition p-smoothable Banach space

BOUNDEDNESS OF DYADIC DERIVATIVE AND CESARO MEAN OPERATOR ON SOME B-VALUED MARTINGALE SPACES被引量：1: 《Acta Mathematica Scientia》2011年第1期268-280,共13页陈丽红刘培德; supported by the Nation Natural Science Foundation of China(10671147);Wuhan University of Science and Engineering under grant (093877); In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I＊ and Cesàro mean operator σ＊ are bounded from the B-valued martingale Hardy spaces pΣα, Dα, pLα...; 关键词：B-valued martingale martingale space dyadic derivative dyadic integral

弱型空间的鞅不等式及其应用被引量：1: 《数学物理学报（A辑）》2010年第5期1292-1305,共14页刘培德; 国家自然科学基金(10671147)资助; 弱型空间是近年来调和分析与鞅论中倍受关注的研究方向,该文就以下几方面介绍有关弱型鞅空间的研究工作:(1)Lorentz鞅空间的原子分解;(2)Orlicz鞅空间的强弱型加权不等式;(3)弱Orlicz鞅空间与拟范数不等式;(4)在Banach空间理论与二进域...; 关键词：鞅论原子分解加权不等式拟赋范空间.

弱L_p空间的Marcienkiewicz型内插定理及其应用: 《系统科学与数学》2010年第9期1214-1221,共8页刘宁刘培德; 国家自然科学基金(10671147);湖北省金融发展与金融安全研究中心(2009D043)资助课题; 在弱L_p空间之间建立一类Marcienkiewicz型内插定理并且给出它在现代调和分析理论中的某些应用.; 关键词：弱L_p空间内插定理 Harty-Littlewood极大函数奇异积分算子

向量值T-鞅序列及其大数定律: 《济南大学学报（自然科学版）》2010年第3期319-322,共4页朱永刚于林; 国家自然科学基金(10671147); 阐述向量值T-鞅及其主要性质,证明了向量值T-鞅序列的Hàjek-Rènyi不等式,并利用该不等式证明了T-鞅序列的强大数定律,指出所得结果与Banach空间的一致光滑性质紧密相关。; 关键词：T一鞅 Hiajek—Renyi不等式大数定律 P-致光滑

Weak Orlicz space and its applications to the martingale theory被引量：23: 《Science China Mathematics》2010年第4期905-916,共12页LIU PeiDe,HOU YouLiang & WANG MaoFa School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China; supported by National Natural Science Foundation of China (Grant No.10671147); In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak O...; 关键词：WEAK ORLICZ SPACE MAXIMAL function MARTINGALE SPACE MARTINGALE INEQUALITY

Weighted Composition Operators between Generally Weighted Bloch Spaces of Polydisk被引量：1: 《Wuhan University Journal of Natural Sciences》2010年第1期7-12,共6页LI Haiying LIU Peide; Supported by the National Natural Science Foundation of China (10671147,10401027);the Key Project of Ministry of Education of China (208081);the Natural Science Foundation of Henan(2007110016;2008B110006); Let φ be a holomorphic self-map of the open unit polydisk U nin C nand ψ a holomorphic function on U n,p,q0. ∨In this paper,we study the generally weighted Bloch space. The growth estimation of functions in such a ...; 关键词：holomorphic self-map composition operator Bloch space generally weighted Bloch space

Weighted Inequalities in Martingale Spaces: 《Wuhan University Journal of Natural Sciences》2010年第1期1-6,共6页CHEN Wei,LIU Peide School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China; Supported by the National Natural Science Foundation of China(10671147); We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in orde...; 关键词：martingale maximal operator maximal geometric mean operator WEIGHT

鞅空间多重极大算子的加权不等式: 《数学学报（中文版）》2009年第6期1173-1180,共8页金雁鸣刘培德; 国家自然科学基金资助项目(10671147); 本文引进了鞅空间的多重极大算子的概念,并且得到了多重极大算子的加权Kolmogorov不等式和加权双Φ不等式.; 关键词：鞅多重极大算子加权不等式

An Extrapolation Theorem on Martingale Spaces with A_p Weights: 《Wuhan University Journal of Natural Sciences》2009年第6期465-469,共5页FAN Liping LIU Peide; Supported by the National Natural Science Foundation of China(10671147); In this paper, we prove an extrapolation theorem of operators in martingale spaces with Ap weights, which shows that for operators T defined on martingale space Lu^I, if T is bounded on martingale space L^P0 （w） for...; 关键词：MARTINGALE WEIGHT maximal operator

国家自然科学基金(10671147)