Definability of singular integral operators on Morrey-Banach spaces

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Abstract

We give a definition of singular integral operators on Morrey-Banach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents. The main result of this paper ensures that the singular integral operator is well defined on the Morrey-Banach spaces. Therefore, it provides a solid foundation for the study of singular integral operators on Morrey type spaces. As an application of our main result, we study the commutators of singular integral operators on Morrey-Banach spaces. Copyright © 2018 the Mathematical Society of Japan.
Original languageEnglish
Pages (from-to)155-170
JournalJournal of the Mathematical Society of Japan
Volume72
Issue number1
Early online date19 Jul 2019
DOIs
Publication statusPublished - Jan 2020

Citation

Ho, K.-P. (2020). Definability of singular integral operators on Morrey-Banach spaces. Journal of the Mathematical Society of Japan, 72(1), 155-170. doi: 10.2969/jmsj/81208120

Keywords

  • Singular integral operator
  • Morrey space
  • Banach function space
  • Variable exponent analysis

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