Articles

WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

  • REN Yan-Bo ,
  • GUO Tie-Xin
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  • 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 date: 2010-10-22

  Online published: 2012-05-20

Supported by

This work was supported by the National Natural Science Foundation of China (10871016)

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(12)60088-5

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