Riesz potential, Marcinkiewicz integral and their commutators on mixed Morrey spaces

Author:

Scapellato Andrea1

Affiliation:

1. Università degli Studi di Catania, Dipartimento di Matematica e Informatica, Viale Andrea Doria, Catania, Italy

Abstract

This paper deals with the boundedness of integral operators and their commutators in the framework of mixed Morrey spaces. Precisely, we study the mixed boundedness of the commutator [b,I?], where I? denotes the fractional integral operator of order ? and b belongs to a suitable homogeneous Lipschitz class. Some results related to the higher order commutator [b,I?]k are also shown. Furthermore, we examine some boundedness properties of the Marcinkiewicz-type integral ?? and the commutator [b,??] when b belongs to the BMO class.

Publisher

National Library of Serbia

Subject

General Mathematics

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