数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (2): 180-187.

• 论文 • 上一篇    下一篇

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

刘培德, 侯友良   

  1. Dept. of Math., Wuhan Univ., Wuhan 430072, China
  • 收稿日期:1991-05-10 出版日期:1993-06-25 发布日期:1993-06-25

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

摘要: 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.

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.