Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators

This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean oscillation (λ-central BMO) space with variabl...

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Main Authors: Amjad Hussain, Muhammad Asim, Fahd Jarad
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/5855068
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author Amjad Hussain
Muhammad Asim
Fahd Jarad
author_facet Amjad Hussain
Muhammad Asim
Fahd Jarad
author_sort Amjad Hussain
collection DOAJ
description This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean oscillation (λ-central BMO) space with variable exponent.
format Article
id doaj-art-7dd21afe96544cdeb9f08ecae9623175
institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-7dd21afe96544cdeb9f08ecae96231752025-02-03T01:06:42ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5855068Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and CommutatorsAmjad Hussain0Muhammad Asim1Fahd Jarad2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean oscillation (λ-central BMO) space with variable exponent.http://dx.doi.org/10.1155/2022/5855068
spellingShingle Amjad Hussain
Muhammad Asim
Fahd Jarad
Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of Mathematics
title Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
title_full Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
title_fullStr Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
title_full_unstemmed Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
title_short Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
title_sort variable λ central morrey space estimates for the fractional hardy operators and commutators
url http://dx.doi.org/10.1155/2022/5855068
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AT muhammadasim variablelcentralmorreyspaceestimatesforthefractionalhardyoperatorsandcommutators
AT fahdjarad variablelcentralmorreyspaceestimatesforthefractionalhardyoperatorsandcommutators