ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS  

作　　者：杨乔华 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Acta Mathematica Scientia》2012年第4期1584-1592,共9页数学物理学报（B辑英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities (1082001);National Science Foundation of China (11101096)

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

关 键 词：Sobolev＇s inequality Brezis-Gallouet-Wainger inequality Heisenberg group 

分 类 号：O186.12[理学—数学]