Functional inequalities and spectrum estimates: The infinite measure case
type: Item
instance of: scholarly article
title: Functional inequalities and spectrum estimates: The infinite measure case
zbMATH Open document ID: 1021.58007
author: Feng-Yu Wang
published in: Journal of Functional Analysis
publication date: 2003-03-26T00:00:00Z
review text: The paper is a continuation of the author's paper [ibid. 170, 219-245 (2000; Zbl 0946.58010)] providing a modification of the super-Poincaré inequality so that the infimum of the essential spectrum is well described even if the reference measure is infinite. Higher-order eigenvalues as well as the corresponding semigroup are estimated by using this new inequality. Criteria of the inequality and estimates of the inequality constants are presented. Some concrete examples are considered to illustrate the main results. In particular, estimates of higher-order eigenvalues obtained in the paper are sharp as checked by examples on the Euclidean space.
reviewed by: Josef Janyška
Mathematics Subject Classification ID: 58C40
zbMATH DE Number: 1888350
zbMATH Keywords: functional inequality
zbMATH Keywords: essential spectrum
zbMATH Keywords: semigroup
zbMATH Keywords: eigenvalue
MaRDI profile type: Publication
OpenAlex ID: W2049065616
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DOI: 10.1006/JFAN.2002.3968
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description: scientific article; zbMATH DE number 1888350