Vector-valued weak martingale Hardy spaces and atomic decompositions

被引：28

作者：

Hou, Y.-L. ^{[1
]}

Ren, Y.-B.

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Henan Univ Sci & Technol, Dept Math & Phys, Luoyang 471003, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2007年 / 115卷 / 03期

基金：

中国国家自然科学基金;

关键词：

martingale; weak Hardy space; atomic decomposition; Banach space;

D O I：

10.1007/s10474-007-5242-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some atomic decomposition theorems are proved in vector-valued weak martingale Hardy spaces w (p) Sigma(alpha)(X), w(p)Q(alpha)(X) and wD(alpha)(X). As applications of atomic decompositions, a sufficient condition for sublinear operators defined on some vector-valued weak martingale Hardy spaces to be bounded is given. In particular, some weak versions of martingale inequalities for the operators f*, S-(p)(f) and sigma((p))(f) are obtained.

引用

页码：235 / 246

页数：12

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