数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1494-1502.doi: 10.1016/S0252-9602(11)60335-4

• 论文 • 上一篇    下一篇

TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

马宇韬   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2009-03-19 修回日期:2010-07-16 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    Supported by NSFC (10721091).

TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES

 MA Yu-Tao   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • Received:2009-03-19 Revised:2010-07-16 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    Supported by NSFC (10721091).

摘要:

In [3], they gave necessary and sufficient condition for T1C and then as ap-plications T1C for weakly dependent sequences was established. In this note, based on Gozlan-L´eonard characterization for W1H-inequalities, we extends this result to W1H-inequalities.

关键词: W1H inequality, Tp(C)-inequality, weakly dependent sequences, tensoriza-tion

Abstract:

In [3], they gave necessary and sufficient condition for T1C and then as ap-plications T1C for weakly dependent sequences was established. In this note, based on Gozlan-L´eonard characterization for W1H-inequalities, we extends this result to W1H-inequalities.

Key words: W1H inequality, Tp(C)-inequality, weakly dependent sequences, tensoriza-tion

中图分类号: 

  • 28A35