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Commutators and generalized local Morrey spaces

Authors:	VS Guliyev MN Omarova MA Ragusa A Scapellato

Institution:	1. Ahi Evran University, Department of Mathematics, Kirsehir, Turkey;2. Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, F. Agayev St. 9, Baku, AZ 1141, Azerbaijan;3. Baku State Univ., Dept. Math. Anal., Baku, AZ 1141, Azerbaijan;4. Dipartimento di Matematica, Università di Catania, Viale A. Doria, 6, 95125 Catania, Italy

Abstract:	In this paper we study the behavior of Hardy–Littlewood maximal operator and the action of commutators in generalized local Morrey spaces $L M_{{x_{0}}}^{p, φ} (R^{n})$ and generalized Morrey spaces $M^{p, φ} (R^{n})$ .

Keywords:	Generalized local Morrey spaces Generalized Morrey spaces Vanishing mean oscillation Commutators
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