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
JournalJournal of the Mathematical Society of Japan
Publication statusAccepted/In press - 04 Sep 2018

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Citation

Ho, K.-P. (2018). Definability of singular integral operators on Morrey-Banach spaces. Journal of the Mathematical Society of Japan. Advance online publication. http://mathsoc.jp/publication/JMSJ/index.html

Keywords

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