Spanne Type Characterization of Parabolic Fractional Maximal Function and Its Commutators in Parabolic Generalized Orlicz–Morrey Spaces

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Date

2021

Journal Title

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Volume Title

Publisher

Springer

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

In this paper, we shall give necessary and sufficient conditions for the Spanne type boundedness of the parabolic fractional maximal operator and its commutators on parabolic generalized Orlicz–Morrey spaces, res-pectively. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Description

International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020 -- 26 April 2020 through 30 April 2020 -- Rostov-on-Don -- 264769

Keywords

BMO, Commutator, Parabolic fractional maximal operator, Parabolic generalized Orlicz–Morrey space

Journal or Series

Springer Proceedings in Mathematics and Statistics

WoS Q Value

Scopus Q Value

N/A

Volume

357

Issue

Citation