Interpolation methods to estimate eigenvalue distribution of some integral operators
type: Item
instance of: scholarly article
title: Interpolation methods to estimate eigenvalue distribution of some integral operators
zbMATH Open document ID: 1092.47030
DOI: 10.1155/S0161171204208274
author: Niranjan Chakravarthy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/52517
review text: In this paper, integral operators with kernels belonging to the Triebel-Lizorkin function space \(F_{pu}^\sigma(\Omega;(F^\tau_{qv};\Omega))\) are studied. Here, \(\Omega\) is a bounded domain in \(\mathbb R^N\). The main theorem says that the eigenvalues of these integral operators belong to the Lorenz sequence space \(\ell_{r,p}\), where \(r\) depends on \(\sigma\), \(\tau\), \(N\) and \(q\). For the proof of this result, the authors use the relation between Triebel-Lizorkin spaces and Besov spaces, and an interpolation method.
reviewed by: Birgit Jacob
Mathematics Subject Classification ID: 47B34
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 2168627
zbMATH Keywords: eigenvalue distribution
zbMATH Keywords: integral operators
zbMATH Keywords: Triebel-Lizorkin function space
MaRDI profile type: Publication
OpenAlex ID: W2117865821
description: scientific article; zbMATH DE number 2168627