An equivalent quasinorm for the Lipschitz space of noncommutative martingales

Open Mathematics

Ma Congbian¹  Ren Yanbo² 

[1] School of Mathematics and Information Science, Xinxiang University, Henan, People’s Republic of China;School of Mathematics and Statistics, Henan University of Science and Technology, Henan, People’s Republic of China;

关键词: noncommutative space;    martingale;    hardy space;    46l53;    46l52;    60g42;   

DOI  :  10.1515/math-2020-0072

来源: DOAJ

【 摘 要 】

In this paper, an equivalent quasinorm for the Lipschitz space of noncommutative martingales is presented. As an application, we obtain the duality theorem between the noncommutative martingale Hardy space hpc(ℳ){h}_{p}^{c}( {\mathcal M} ) (resp. hpr(ℳ){h}_{p}^{r}( {\mathcal M} )) and the Lipschitz space λβc(ℳ){\lambda }_{\beta }^{c}( {\mathcal M} ) (resp. λβr(ℳ){\lambda }_{\beta }^{r}( {\mathcal M} )) for 0

【 授权许可】

Unknown