L_(p,q)-norm estimates associated with Burkholder’s inequalities 被引量：1

L_(p,q)-norm estimates associated with Burkholder's inequalities

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摘要 We prove Burkholder's inequalities in the frame of Lorentz spaces Lp,q(Ω), 1 < p < ∞, 1 < q < ∞. As application, we obtain the Lp,q-norm estimates on Rosenthal's inequalities. These estimates generalize the classical Rosenthal's inequalities. We prove Burkholder＇s inequalities in the frame of Lorentz spaces LP,q（Ω）, 1 〈 p 〈 ∞, 1 〈 q 〈 ∞. As application, we obtain the Lp,q-norm estimates on Rosenthal＇s inequalities. These estimates generalize the classical Rosenthal＇s inequalities.

作者 jIAO Yong

机构地区 School of Mathematics Science and Computing Technology

出处《Science China Mathematics》 SCIE 2011年第12期2713-2721,共9页 中国科学：数学（英文版）

基金 supported by National Natural ScienceFoundation of China (Grant Nos. 11001273, 90820302) the Fundamental Research Funds for the Central Univer-sities (Grant No. 2010QYZD001) Research Fund for the Doctoral Program of Higher Education of China (GrantNo. 20100162120035) Postdoctoral Science Foundation of Central South University

关键词 Lorentz spaces MARTINGALES Burkholder＇s inequalities Rosenthal＇s inequalities 估计 Lorentz空间数理统计积分变换

分类号 O212.1 [理学—概率论与数理统计] O177.6 [理学—基础数学]

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Science China Mathematics

2011年第12期

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