FRACTIONAL MAXIMAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED MORREY SPACES ON HEISENBERG GROUP

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Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

In this paper we study the boundedness of the fractional maximal operator M-alpha on Heisenberg group H-n in the generalized Morrey spaces M-p,(phi)(H-n). We shall give a characterization for the strong and weak type Spanne and Adams type boundedness of M-alpha on the generalized Morrey spaces, respectively. Also we give a characterization for the Spanne and Adams type boundedness of fractional maximal commutator operator M(b,alpha )on the generalized Morrey spaces.

Description

Keywords

Heisenberg group, fractional maximal operator, generalized Morrey space

Journal or Series

Proceedings of the Institute of Mathematics and Mechanics

WoS Q Value

N/A

Scopus Q Value

Volume

44

Issue

2

Citation