A note on two-weight inequalities for multiple Hardy-type operators

Necessary and sufficient conditions on a pair of weights guaranteeing two-weight estimates for the multiple Riemann-Liouville transforms are established provided that the weight on the right-hand side satisfies some additional conditions.

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Bibliographic Details
Main Author: Alexander Meskhi
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/361878
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author Alexander Meskhi
author_facet Alexander Meskhi
author_sort Alexander Meskhi
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description Necessary and sufficient conditions on a pair of weights guaranteeing two-weight estimates for the multiple Riemann-Liouville transforms are established provided that the weight on the right-hand side satisfies some additional conditions.
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institution Kabale University
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series Journal of Function Spaces and Applications
spelling doaj-art-cf280d9001854e2fa1149201652ea4582025-02-03T07:24:50ZengWileyJournal of Function Spaces and Applications0972-68022005-01-013322323710.1155/2005/361878A note on two-weight inequalities for multiple Hardy-type operatorsAlexander Meskhi0A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1. M. Aleksidze St., 0193 Tbilisi, GeorgiaNecessary and sufficient conditions on a pair of weights guaranteeing two-weight estimates for the multiple Riemann-Liouville transforms are established provided that the weight on the right-hand side satisfies some additional conditions.http://dx.doi.org/10.1155/2005/361878
spellingShingle Alexander Meskhi
A note on two-weight inequalities for multiple Hardy-type operators
Journal of Function Spaces and Applications
title A note on two-weight inequalities for multiple Hardy-type operators
title_full A note on two-weight inequalities for multiple Hardy-type operators
title_fullStr A note on two-weight inequalities for multiple Hardy-type operators
title_full_unstemmed A note on two-weight inequalities for multiple Hardy-type operators
title_short A note on two-weight inequalities for multiple Hardy-type operators
title_sort note on two weight inequalities for multiple hardy type operators
url http://dx.doi.org/10.1155/2005/361878
work_keys_str_mv AT alexandermeskhi anoteontwoweightinequalitiesformultiplehardytypeoperators
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