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

作　　者：jIAO Yong 

机构地区：[1]School of Mathematics Science and Computing Technology, Central South University, Changsha 410075, China

出　　处：《Science China Mathematics》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

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.

关 键 词：Lorentz spaces MARTINGALES Burkholder＇s inequalities Rosenthal＇s inequalities 

分 类 号：O212.1[理学—概率论与数理统计] O177.6[理学—数学]