Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 744-754.

• Articles • Previous Articles     Next Articles

Martingale Transforms between Orlicz-Hardy and BMO Spaces

 ZHUANG Dan, YU Lin   

  1. cience College, China Three Gorges University, Hubei Yichang 443002
  • Received:2012-09-28 Revised:2013-10-18 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    湖北省自然科学基金(2010CDB10807)和湖北省教育厅重点项目(D20101204)资助

Abstract:

Using the technique of Burkholder's martingale transforms, the relations between "predictable'' martingale Orlicz-Hardy spaces and BMO spaces are investigated. Let Φ be a Young function with finite index, it is proved that a martingale is in HΦ∈{PΦ, QΦ}, if and only if it is the transform of a martingale from BMO∈{BMO1, BMO2}.

Key words: Martingale transform, Orlicz-Hardy space of martingales, BMO space

CLC Number: 

  • 60G42
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