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Commutators of operators in Musielak–Orlicz–Morrey spaces on differential forms

Commutators of operators in Musielak–Orlicz–Morrey spaces on differential forms We characterize the commutators of fractional integral operator and Calderón–Zygmund operator on differential forms. Also, the Hölder continuity for commutator of fractional integral operator with double-phase functional is derived. Finally, some estimates for the solutions to A-harmonic equations on differential forms are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Functional Analysis Springer Journals

Commutators of operators in Musielak–Orlicz–Morrey spaces on differential forms

Annals of Functional Analysis , Volume 12 (4) – Oct 1, 2021

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Publisher
Springer Journals
Copyright
Copyright © Tusi Mathematical Research Group (TMRG) 2021
ISSN
2639-7390
eISSN
2008-8752
DOI
10.1007/s43034-021-00145-6
Publisher site
See Article on Publisher Site

Abstract

We characterize the commutators of fractional integral operator and Calderón–Zygmund operator on differential forms. Also, the Hölder continuity for commutator of fractional integral operator with double-phase functional is derived. Finally, some estimates for the solutions to A-harmonic equations on differential forms are obtained.

Journal

Annals of Functional AnalysisSpringer Journals

Published: Oct 1, 2021

Keywords: Differential forms; Fractional integral operator; Calderón–Zygmund operator; Musielak–Orlicz–Morrey spaces; Hölder continuity; 42B35; 46E30; 35J60

References