Noncommutative martingale Hardy-Orlicz spaces:Dualities and inequalities  

作　　者：Yong Jiao Lian Wu Dejian Zhou 

机构地区：[1]School of Mathematics and Statistics,Hunan Key Laboratory of Analytical Mathematics and Applications,Central South University,Changsha 410083,China

出　　处：《Science China Mathematics》2023年第9期2081-2104,共24页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.12125109,11971484 and 12001541);Natural Science Foundation of Hunan(Grant No.2021JJ40714);Changsha Municipal Natural Science Foundation(Grant No.kq2014118)。

摘　　要：We investigate dualities and inequalities related to noncommutative martingale Hardy-Orlicz spaces.More precisely,for a concave Orlicz functionΦ,we characterize the dual spaces of noncommutative martingale Hardy-Orlicz spaces HΦc(R)and hΦc(M),where R denotes a hyperfinite finite von Neumann algebra and M is a finite von Neumann algebra.The first duality is new even for classical martingales,which partially answers the problem raised by Conde-Alonso and Parcet(2016).We establish as well asymmetric martingale inequalities associated with Orlicz functions that are p-convex and q-concave for 0<p≤q<2.

关 键 词：noncommutative martingales Hardy spaces duality Lipschitz spaces Orlicz functions 

分 类 号：O177[理学—数学]