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arXiv:1804.01415 [math.AP]AbstractReferencesReviewsResources

Some functional inequalities for the fractional p-sub-Laplacian

Aidyn Kassymov, Durvudkhan Suragan

Published 2018-04-04, updated 2018-04-11Version 2

In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We prove fractional Sobolev and Hardy inequalities and we also present a Lyapunov-type inequality for the fractional p-sub-Laplacian. As a consequence of the Lyapunov-type inequality we show an estimate of the first eigenvalue in a quasi-ball for the Dirichlet fractional p-sub-Laplacian.

Comments: a typo corrected version. 14 pages. submitted
Categories: math.AP
Subjects: 22E30, 43A80, G.1.8
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