Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups

Published 8 Aug 2017 in math.FA | (1708.02372v1)

Abstract: In this short paper, we establish a range of Caffarelli-Kohn-Nirenberg and weighted $L^{p}$-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the $L^{2}$-case.

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