Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces

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Abstract

We establish the mapping properties of the singular integral operators, the Fourier integral operators and the geometric maximal operators on the Orlicz-slice spaces by using extrapolation. By extending the extrapolation theory to the Hardy Orlicz-slice spaces, we also obtain the mapping properties of the maximal Bochner-Riesz means, the parametric Marcinkiewicz integrals and the multiplier operators on the Hardy Orlicz-slice spaces. Copyright © 2021 Elsevier Inc. All rights reserved.
Original languageEnglish
Article number125279
JournalJournal of Mathematical Analysis and Applications
Volume503
Issue number1
Early online date29 Apr 2021
DOIs
Publication statusE-pub ahead of print - 29 Apr 2021

Citation

Ho, K.-P. (2021). Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces. Journal of Mathematical Analysis and Applications, 503(1). Retrieved from https://doi.org/10.1016/j.jmaa.2021.125279

Keywords

  • Orlicz spaces
  • Hardy space
  • Slice spaces
  • Singular integrals
  • Maximal functions
  • Extrapolation

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