Lyapunov-type inequalities for the fractional p-sub-Laplacian

Autor:	Aidyn Kassymov, Durvudkhan Suragan
Rok vydání:	2020
Předmět:	Lyapunov function Pure mathematics Algebra and Number Theory Lie group Mathematics::Spectral Theory Type (model theory) Operator theory Dirichlet distribution Sobolev space symbols.namesake symbols Laplace operator Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Advances in Operator Theory. 5:435-452
ISSN:	2538-225X 2662-2009
DOI:	10.1007/s43036-019-00037-6
Popis:	In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We show analogues of the 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 obtain an estimate of the first eigenvalue in a quasi-ball for the Dirichlet fractional p-sub-Laplacian.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5e133efd3db9968b99ec01a4f0a97783 https://doi.org/10.1007/s43036-019-00037-6 Zobrazit plný text záznamu