数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1584-1592.doi: 10.1016/S0252-9602(12)60125-8

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ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS

杨乔华   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2010-03-23 修回日期:2011-05-30 出版日期:2012-07-20 发布日期:2012-07-20
  • 基金资助:

    This work was supported by the Fundamental Research Funds for the Central Universities (1082001) and National Science Foundation of China (11101096).

ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS

 YANG Qiao-Hua   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2010-03-23 Revised:2011-05-30 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    This work was supported by the Fundamental Research Funds for the Central Universities (1082001) and National Science Foundation of China (11101096).

摘要:

We prove some Trudinger-type inequalities and Brezis-Gallouet-Wainger in-equality on the Heisenberg group, extending to this context the Euclidean results by T. Ozawa.

关键词: Sobolevs inequality, Brezis-Gallouet-Wainger inequality, Heisenberg group

Abstract:

We prove some Trudinger-type inequalities and Brezis-Gallouet-Wainger in-equality on the Heisenberg group, extending to this context the Euclidean results by T. Ozawa.

Key words: Sobolevs inequality, Brezis-Gallouet-Wainger inequality, Heisenberg group

中图分类号: 

  • 22E25