Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 1157-1166.doi: 10.1016/S0252-9602(12)60088-5

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WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS

 REN Yan-Bo1,2, GUO Tie-Xin1   

  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
  • 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)

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.

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

CLC Number: 

  • 60G42
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