Weighted weak-type inequalities for generalized Hardy operators

Weighted weak-type inequalities for generalized Hardy operators

<p/> <p>We characterize the pairs of weights <inline-formula><graphic file="1029-242X-2006-62426-i1.gif"/></inline-formula> for which the Hardy-Steklov-type operator <inline-formula><graphic file="1029-242X-2006-62426-i2.gif"/></inline...

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Main Authors: Mart&#237;n-Reyes FJ, Ortega Salvador P, Bernardis AL
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2006/62426
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spelling doaj-db51a17d197b49048e6c6ca7f7b83f832020-11-25T00:19:18ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2006-01-012006162426Weighted weak-type inequalities for generalized Hardy operatorsMart&#237;n-Reyes FJOrtega Salvador PBernardis AL<p/> <p>We characterize the pairs of weights <inline-formula><graphic file="1029-242X-2006-62426-i1.gif"/></inline-formula> for which the Hardy-Steklov-type operator <inline-formula><graphic file="1029-242X-2006-62426-i2.gif"/></inline-formula> applies <inline-formula><graphic file="1029-242X-2006-62426-i3.gif"/></inline-formula> into weak- <inline-formula><graphic file="1029-242X-2006-62426-i4.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i5.gif"/></inline-formula>, assuming certain monotonicity conditions on <inline-formula><graphic file="1029-242X-2006-62426-i6.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i7.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i8.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2006-62426-i9.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2006/62426
collection DOAJ
language English
format Article
sources DOAJ
author Mart&#237;n-Reyes FJ
Ortega Salvador P
Bernardis AL
spellingShingle Mart&#237;n-Reyes FJ
Ortega Salvador P
Bernardis AL
Weighted weak-type inequalities for generalized Hardy operators
Journal of Inequalities and Applications
author_facet Mart&#237;n-Reyes FJ
Ortega Salvador P
Bernardis AL
author_sort Mart&#237;n-Reyes FJ
title Weighted weak-type inequalities for generalized Hardy operators
title_short Weighted weak-type inequalities for generalized Hardy operators
title_full Weighted weak-type inequalities for generalized Hardy operators
title_fullStr Weighted weak-type inequalities for generalized Hardy operators
title_full_unstemmed Weighted weak-type inequalities for generalized Hardy operators
title_sort weighted weak-type inequalities for generalized hardy operators
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2006-01-01
description <p/> <p>We characterize the pairs of weights <inline-formula><graphic file="1029-242X-2006-62426-i1.gif"/></inline-formula> for which the Hardy-Steklov-type operator <inline-formula><graphic file="1029-242X-2006-62426-i2.gif"/></inline-formula> applies <inline-formula><graphic file="1029-242X-2006-62426-i3.gif"/></inline-formula> into weak- <inline-formula><graphic file="1029-242X-2006-62426-i4.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i5.gif"/></inline-formula>, assuming certain monotonicity conditions on <inline-formula><graphic file="1029-242X-2006-62426-i6.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i7.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i8.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2006-62426-i9.gif"/></inline-formula>.</p>
url http://www.journalofinequalitiesandapplications.com/content/2006/62426
work_keys_str_mv AT mart237nreyesfj weightedweaktypeinequalitiesforgeneralizedhardyoperators
AT ortegasalvadorp weightedweaktypeinequalitiesforgeneralizedhardyoperators
AT bernardisal weightedweaktypeinequalitiesforgeneralizedhardyoperators
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