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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 171, Pages 70–77
DOI: https://doi.org/10.36535/0233-6723-2019-171-70-77 (Mi into534) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Modified Hardy and Hardy–Littlewood fractional operators in Morrey–Herz spaces and their commutators in weighted spaces

S. S. Volosivetsa, B. I. Golubovb

a Saratov State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
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DOI: https://doi.org/10.36535/0233-6723-2019-171-70-77
Abstract: In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators from one weighted space with a power weight to another.
Keywords: Hardy–Littlewood fractional operator, Hardy fractional operator, modified Morrey–Herz space, weighted space $L^q$, commutator.
Document Type: Article
UDC: 517.518.13
MSC: 44A15, 42B35
Language: Russian
Citation: S. S. Volosivets, B. I. Golubov, “Modified Hardy and Hardy–Littlewood fractional operators in Morrey–Herz spaces and their commutators in weighted spaces”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 171, VINITI, Moscow, 2019, 70–77
Citation in format AMSBIB
\Bibitem{VolGol19}
\by S.~S.~Volosivets, B.~I.~Golubov
\paper Modified Hardy and Hardy--Littlewood fractional operators in Morrey--Herz spaces and their commutators in weighted spaces
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 171
\pages 70--77
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into534}
\crossref{https://doi.org/10.36535/0233-6723-2019-171-70-77}
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