Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (2): 180-187.

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TRANSFORMS, DIFFERENTIAL SUBORDINATIONS AND Ap-WEIGHTED INEQUALITIES FOR BANACH-SPACE-VALUED REGULAR MARTINGALES

Liu Peide, Hou Youliang   

  1. Dept. of Math., Wuhan Univ., Wuhan 430072, China
  • Received:1991-05-10 Online:1993-06-25 Published:1993-06-25

Abstract: In this paper we proved the Ap-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales. We discussed the relations between the weighted inequalities, Ap-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.

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