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arXiv · 1708.02372

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

Michael Ruzhansky·Durvudkhan Suragan·Nurgissa Yessirkegenov
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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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Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov. 2017-08-08. Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups. https://doi.org/10.1007/s00030-017-0478-2

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