Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces

Abstract In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get similar results for the commutators of fractional integral operators with BMO funct...

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Main Authors: Jinyun Qi, Xuefang Yan, Wenming Li
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02394-w
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author Jinyun Qi
Xuefang Yan
Wenming Li
author_facet Jinyun Qi
Xuefang Yan
Wenming Li
author_sort Jinyun Qi
collection DOAJ
description Abstract In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get similar results for the commutators of fractional integral operators with BMO functions and the associated maximal operators.
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spelling doaj.art-41991c2f08cd4f1c8e9886b16e6c3b652022-12-21T18:42:49ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-05-012020111510.1186/s13660-020-02394-wEndpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spacesJinyun Qi0Xuefang Yan1Wenming Li2School of Mathematical Sciences, Hebei Normal UniversitySchool of Mathematical Sciences, Hebei Normal UniversitySchool of Mathematical Sciences, Hebei Normal UniversityAbstract In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get similar results for the commutators of fractional integral operators with BMO functions and the associated maximal operators.http://link.springer.com/article/10.1186/s13660-020-02394-wSingular integral operatorFractional integral operatorCommutatorMaximal operatorWeighted generalized Morrey space
spellingShingle Jinyun Qi
Xuefang Yan
Wenming Li
Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
Journal of Inequalities and Applications
Singular integral operator
Fractional integral operator
Commutator
Maximal operator
Weighted generalized Morrey space
title Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
title_full Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
title_fullStr Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
title_full_unstemmed Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
title_short Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces
title_sort endpoint boundedness for commutators of singular integral operators on weighted generalized morrey spaces
topic Singular integral operator
Fractional integral operator
Commutator
Maximal operator
Weighted generalized Morrey space
url http://link.springer.com/article/10.1186/s13660-020-02394-w
work_keys_str_mv AT jinyunqi endpointboundednessforcommutatorsofsingularintegraloperatorsonweightedgeneralizedmorreyspaces
AT xuefangyan endpointboundednessforcommutatorsofsingularintegraloperatorsonweightedgeneralizedmorreyspaces
AT wenmingli endpointboundednessforcommutatorsofsingularintegraloperatorsonweightedgeneralizedmorreyspaces