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

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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.

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Acknowledgements

The authors would like to thank the anonymous referee for his/her valuable comments and thoughtful suggestions.

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Authors and Affiliations

  1. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Jianwei Wang & Yuming Xing

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  1. Jianwei Wang
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  2. Yuming Xing
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Correspondence to Yuming Xing.

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Communicated by Joachim Toft.

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Wang, J., Xing, Y. Commutators of operators in Musielak–Orlicz–Morrey spaces on differential forms. Ann. Funct. Anal. 12, 59 (2021). https://doi.org/10.1007/s43034-021-00145-6

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  • DOI: https://doi.org/10.1007/s43034-021-00145-6

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