Acta mathematica scientia, Series B >
IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS
Received date: 2008-11-27
Revised date: 2009-12-18
Online published: 2011-07-20
Supported by
This work was supported by National Science Foundation of China (10771175).
Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type.
LUO Guang-Zhou . IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1583 -1590 . DOI: 10.1016/S0252-9602(11)60344-5
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