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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Format: | Article |
Language: | English |
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Wiley
2022-01-01
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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 |
work_keys_str_mv | AT amjadhussain variablelcentralmorreyspaceestimatesforthefractionalhardyoperatorsandcommutators AT muhammadasim variablelcentralmorreyspaceestimatesforthefractionalhardyoperatorsandcommutators AT fahdjarad variablelcentralmorreyspaceestimatesforthefractionalhardyoperatorsandcommutators |