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.
Annals of Functional Analysis – Springer Journals
Published: Oct 1, 2021
Keywords: Differential forms; Fractional integral operator; Calderón–Zygmund operator; Musielak–Orlicz–Morrey spaces; Hölder continuity; 42B35; 46E30; 35J60
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