S. S. Volosivets, B. I. Golubov, “Modified Hardy and Hardy–Littlewood fractional operators in Morrey–Herz spaces and their commutators in weighted spaces”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 171,Pages <nobr>70

This article is cited in 1 paper

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

S. S. Volosivets^a, B. I. Golubov^b

^a Saratov State University
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

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.

UDC: 517.518.13

MSC: 44A15, 42B35

DOI: 10.36535/0233-6723-2019-171-70-77