Nonlinear commutators on Morrey–Banach spaces

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Abstract

We establish the boundedness of the nonlinear commutator introduced by Rochberg and Weiss (Ann Math 118:315–347, 1983) on Morrey–Banach spaces. In particular, we have the boundedness results on the Morrey–Lorentz spaces and the Morrey spaces with variable exponents. Copyright © 2021 The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Original languageEnglish
Article number48
JournalJournal of Pseudo-Differential Operators and Applications
Volume12
Issue number3
Early online date20 Aug 2021
DOIs
Publication statusPublished - Sep 2021

Citation

Ho, K.-P. (2021). Nonlinear commutators on Morrey–Banach spaces. Journal of Pseudo-Differential Operators and Applications, 12(3). Retrieved from https://doi.org/10.1007/s11868-021-00419-6

Keywords

  • Commutator
  • Singular integral operator
  • Nonlinear operator
  • Morrey space
  • Banach function space

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