Acta mathematica scientia, Series B >
ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS
Received date: 2010-03-23
Revised date: 2011-05-30
Online 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).
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.
YANG Qiao-Hua . ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1584 -1592 . DOI: 10.1016/S0252-9602(12)60125-8
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