WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

doi:10.1016/S0252-9602(12)60088-5

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1157-1166.doi: 10.1016/S0252-9602(12)60088-5

WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

任颜波^1,2|郭铁信¹

1. School of Mathematics and Systems Science, Beihang University, Beijing 100191, China；
2. School of Mathematics and Statistics, Henan University of Scinence and Technology, Luoyang 471003, China

收稿日期:2010-10-22 出版日期:2012-05-20 发布日期:2012-05-20
基金资助:
This work was supported by the National Natural Science Foundation of China (10871016)

WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

REN Yan-Bo^1,2, GUO Tie-Xin¹

1. School of Mathematics and Systems Science, Beihang University, Beijing 100191, China；
2. School of Mathematics and Statistics, Henan University of Scinence and Technology, Luoyang 471003, China

Received:2010-10-22 Online:2012-05-20 Published:2012-05-20
Supported by:
This work was supported by the National Natural Science Foundation of China (10871016)

摘要/Abstract

摘要：

In this article, we establish some atomic decomposition theorems for martin-gale Hardy-Lorentz spaces. As applications, with the help of weak atomic decompositions, some interpolation theorems for martingale Hardy-Lorentz spaces are proved.

关键词: Martingale Hardy-Lorentz space, weak atom, atomic decomposition, inter-polation

Abstract:

Key words: Martingale Hardy-Lorentz space, weak atom, atomic decomposition, inter-polation

中图分类号:

60G42

任颜波, 郭铁信. WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS[J]. 数学物理学报(英文版), 2012, 32(3): 1157-1166.

REN Yan-Bo, GUO Tie-Xin. WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS[J]. Acta mathematica scientia,Series B, 2012, 32(3): 1157-1166.

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WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

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