Modified Hardy and Hardy–Littlewood Fractional Operators in Morrey–Herz Spaces and Their Commutators in Weighted Spaces

In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators acting from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators acting from one weighted space with a power weight to a...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.263 (5), p.666-674
Main Authors: Volosivets, S. S., Golubov, B. I.
Format: Article
Language:English
Subjects:
Commutators
Mathematics
Mathematics and Statistics
Operators (mathematics)
Citations: Items that this one cites
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Summary:In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators acting from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators acting from one weighted space with a power weight to another.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05957-y