Extrapolation to weighted Morrey spaces with variable exponents and applications

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Abstract

This paper establishes the mapping properties of pseudo-differential operators and the Fourier integral operators on the weighted Morrey spaces with variable exponents and the weighted Triebel-Lizorkin-Morrey spaces with variable exponents. We obtain these results by extending the extrapolation theory to the weighted Morrey spaces with variable exponents. This extension also gives the mapping properties of Calderón-Zygmund operators on the weighted Hardy-Morrey spaces with variable exponents and the wavelet characterizations of the weighted Hardy-Morrey spaces with variable exponents. Copyright © 2021 The Author(s).
Original languageEnglish
Pages (from-to)1002-1027
JournalProceedings of the Edinburgh Mathematical Society
Volume64
Issue number4
Early online date09 Nov 2021
DOIs
Publication statusPublished - Nov 2021

Citation

Ho, K.-P. (2021). Extrapolation to weighted Morrey spaces with variable exponents and applications. Proceedings of the Edinburgh Mathematical Society, 64(4), 1002-1027. doi: 10.1017/S0013091521000742

Keywords

  • Morrey spaces
  • Triebel–Lizorkin spaces
  • Hardy–Morrey spaces
  • Extrapolation
  • Pseudo-differential operators
  • Fourier integral operators
  • Calderón–Zygmund operators
  • Wavelets

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