Sublinear operators on mixed-norm Hardy spaces with variable exponents

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Abstract

In this paper, we define and study the mixed-norm Hardy spaces with variable exponents. We establish some general principles for the mapping properties of sublinear operators on the mixed-norm Hardy spaces with variable exponents. By using these principles, we obtain the mapping properties of the Calderón–Zygmund operators, the oscillatory singular integral operators, the multiplier operators, the Littlewood–Paley functions, the intrinsic square functions, the parametric Marcinkiewicz integrals and the maximal Bochner–Riesz means on the mixed-norm Hardy spaces with variable exponents. Copyright © 2020 European Mathematical Society Publishing House. All rights reserved.
Original languageEnglish
Pages (from-to)481-502
JournalRendiconti Lincei - Matematica e Applicazioni
Volume31
Issue number3
Early online date03 Nov 2020
DOIs
Publication statusPublished - 2020

Citation

Ho, K.-P. (2020). Sublinear operators on mixed-norm Hardy spaces with variable exponents. Rendiconti Lincei - Matematica e Applicazioni, 31(3), 481-502. doi: 10.4171/RLM/902

Keywords

  • Sublinear operator
  • Hardy spaces
  • Mixed-norm spaces
  • Extrapolation
  • Singular integral
  • Littlewood–Paley function
  • Intrinsic square function
  • Marcinkiewicz integral
  • Bochner–Riesz means

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