Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces

In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.

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Main Authors: Zhang Pu, Ağcayazı Müjdat
Format: Article
Language:English
Published: De Gruyter 2024-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2024-0070
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author Zhang Pu
Ağcayazı Müjdat
author_facet Zhang Pu
Ağcayazı Müjdat
author_sort Zhang Pu
collection DOAJ
description In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
format Article
id doaj-art-8f9c6ec40e384bb6adecf77484816afc
institution OA Journals
issn 2391-5455
language English
publishDate 2024-10-01
publisher De Gruyter
record_format Article
series Open Mathematics
spelling doaj-art-8f9c6ec40e384bb6adecf77484816afc2025-08-20T01:53:30ZengDe GruyterOpen Mathematics2391-54552024-10-0122161163510.1515/math-2024-0070Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spacesZhang Pu0Ağcayazı Müjdat1Department of Mathematics, Mudanjiang Normal University, Mudanjiang, Heilongjiang, 157011, P. R. ChinaDepartment of Mathematics and Science Education, Aydın Adnan Menderes University, Efeler, Aydın, 09010, TürkiyeIn this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.https://doi.org/10.1515/math-2024-0070commutatorsmultilinear fractional maximal operatorslipschitz spacesmorrey spaces47b4742b2542b3546e30
spellingShingle Zhang Pu
Ağcayazı Müjdat
Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
Open Mathematics
commutators
multilinear fractional maximal operators
lipschitz spaces
morrey spaces
47b47
42b25
42b35
46e30
title Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
title_full Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
title_fullStr Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
title_full_unstemmed Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
title_short Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
title_sort commutators of multilinear fractional maximal operators with lipschitz functions on morrey spaces
topic commutators
multilinear fractional maximal operators
lipschitz spaces
morrey spaces
47b47
42b25
42b35
46e30
url https://doi.org/10.1515/math-2024-0070
work_keys_str_mv AT zhangpu commutatorsofmultilinearfractionalmaximaloperatorswithlipschitzfunctionsonmorreyspaces
AT agcayazımujdat commutatorsofmultilinearfractionalmaximaloperatorswithlipschitzfunctionsonmorreyspaces