Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (4): 1065-1073.

• Articles • Previous Articles     Next Articles

Two Φ-functions and Two Weights Inequalities for Maximal Operators in Martingale Spaces

  

  1. (Science College, China Three Gorges University, Hubei Yichang 443002)
  • Received:2007-10-08 Revised:2008-08-29 Online:2009-08-25 Published:2009-08-25
  • Supported by:

    基金项目:国家自然科学基金(10671147)、湖北省教育厅科学研究计划重点项目(D200613001)资助

Abstract:

In this paper, the weighted inequalities for the maximal functions in Orlicz martingale spaces are studied. It includes the strong and weak
1, Φ2)-type weighed inequalities. The sufficient and necessary conditions on the part of the inequalities are given.

Key words: Martingale, Weighted, Inequality, Orlicz space, Maximal operator

CLC Number: 

  • 60G42
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