Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1523-1527.

• Articles • Previous Articles     Next Articles

Martingale Transforms between Hardy Spaces and Hardy-Orlicz Spaces of Martingales

 MENG Wei-Wei, YU Lin   

  1. College of Science, China Three Gorges University, Hubei Yichang 443002
  • Received:2009-06-06 Revised:2010-10-15 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    湖北省高等学校自然科学研究计划重点项目(D200613001)资助

Abstract:

The martingale transform techniques are used to show that, given any Young function Φ with finite power pΦ, the corresponding Hardy-Orlicz space HsΦ is the martingale transform of Hardy spaces Hs1,  and the converse result is also true. The results obtained here extend the
corresponding results in literature.

Key words: Martingale transform, Hardy spaces, Hardy-Orlicz spaces

CLC Number: 

  • 60G42
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