The improvement on the boundedness and norm of a class of integral operators on \(L^p\) space
type: Item
instance of: scholarly article
title: The improvement on the boundedness and norm of a class of integral operators on \(L^p\) space
zbMATH Open document ID: 1321.47109
DOI: 10.1155/2015/362681
author: Lifang Zhou
author: Jin Lu
published in: Journal of Function Spaces
publication date: 2015-08-20T00:00:00Z
review text: Summary: We prove that the condition ``\(c\) is neither 0 nor a negative integer'' can be dropped on the boundedness of a class of integral operators \(S_{a,b,c}\) on \(L^p\) space, which improves the result by \textit{O. Kures} and \textit{K. Zhu} [Integral Equations Oper. Theory 56, No.~1, 71--82 (2006; Zbl 1109.47041)]. Besides, the exact norm of \(S_{a,b,c}\) on \(L^p\) space is also obtained under the assumption \(c=n+1+a+b\).
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 6474202
Wikidata QID: Q59112801
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/362681
OpenAlex ID: W2089476112
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description: scientific article; zbMATH DE number 6474202