Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces

In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.

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Bibliographic Details
Published in:Journal of pseudo-differential operators and applications 2024-09, Vol.15 (3), Article 62
Main Authors: Hong, Ngo Thi, Van Duong, Dao
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Commutators
Estimates
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
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Description
Summary:In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-024-00625-y