An integral operator inequality with applications

<p/> <p>Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds. There are applications of the r...

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Bibliographic Details
Main Authors:	Everitt WN, Littlejohn LL, Chisholm RS
Format:	Article
Language:	English
Published:	SpringerOpen 1999-01-01
Series:	Journal of Inequalities and Applications
Subjects:	Integral operators integral inequalities Legendre differential expression
Online Access:	http://www.journalofinequalitiesandapplications.com/content/3/465750

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spelling	doaj-84c055457bed411f842a9d83ac72bf752020-11-24T23:34:46ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1999-01-0119993465750An integral operator inequality with applicationsEveritt WNLittlejohn LLChisholm RS<p/> <p>Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds. There are applications of the results to integral inequalities; also to properties of the domains of self-adjoint unbounded operators, in Hilbert function spaces, associated with the classical orthogonal polynomials and their generalisations.</p>http://www.journalofinequalitiesandapplications.com/content/3/465750Integral operatorsintegral inequalitiesLegendre differential expression
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Everitt WN Littlejohn LL Chisholm RS
spellingShingle	Everitt WN Littlejohn LL Chisholm RS An integral operator inequality with applications Journal of Inequalities and Applications Integral operators integral inequalities Legendre differential expression
author_facet	Everitt WN Littlejohn LL Chisholm RS
author_sort	Everitt WN
title	An integral operator inequality with applications
title_short	An integral operator inequality with applications
title_full	An integral operator inequality with applications
title_fullStr	An integral operator inequality with applications
title_full_unstemmed	An integral operator inequality with applications
title_sort	integral operator inequality with applications
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	1999-01-01
description	<p/> <p>Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds. There are applications of the results to integral inequalities; also to properties of the domains of self-adjoint unbounded operators, in Hilbert function spaces, associated with the classical orthogonal polynomials and their generalisations.</p>
topic	Integral operators integral inequalities Legendre differential expression
url	http://www.journalofinequalitiesandapplications.com/content/3/465750
work_keys_str_mv	AT everittwn anintegraloperatorinequalitywithapplications AT littlejohnll anintegraloperatorinequalitywithapplications AT chisholmrs anintegraloperatorinequalitywithapplications AT everittwn integraloperatorinequalitywithapplications AT littlejohnll integraloperatorinequalitywithapplications AT chisholmrs integraloperatorinequalitywithapplications
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An integral operator inequality with applications

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