Commutators of Parabolic Fractional Maximal Operators on Parabolic Total Morrey Spaces

ABSTRACT In this paper, the main goal is to provide necessary and sufficient conditions for the boundedness of parabolic fractional maximal commutators and commutators of the parabolic fractional maximal operator in parabolic total Morrey spaces with symbols belonging to parabolic Lipschitz spaces , as a result of which some new characterizations of parabolic Lipschitz spaces and non‐negative parabolic Lipschitz function spaces are obtained.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-04-02
DOI
https://doi.org/10.1002/mma.10940
Citations
2
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
7.45
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article

Commutators of Parabolic Fractional Maximal Operators on Parabolic Total Morrey Spaces

Mehriban N. Omarova
2 citations
Mathematical Methods in the Applied Sciences
Advanced Harmonic Analysis Research
7.45
article

Commutators of Parabolic Fractional Maximal Operators on Parabolic Total Morrey Spaces

Mehriban N. Omarova
article en
2 citations

Abstract

ABSTRACT In this paper, the main goal is to provide necessary and sufficient conditions for the boundedness of parabolic fractional maximal commutators and commutators of the parabolic fractional maximal operator in parabolic total Morrey spaces with symbols belonging to parabolic Lipschitz spaces , as a result of which some new characterizations of parabolic Lipschitz spaces and non‐negative parabolic Lipschitz function spaces are obtained.

Mathematical Methods in the Applied SciencesVol. 48(11)
Baku State University (AZ), Institute of Mathematics and Mechanics (AZ)
Openalex Percentile: Top 4%
Advanced Harmonic Analysis Research
7.45
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