Extrapolation to mixed norm spaces and applications

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Abstract

This paper establishes extrapolation theory to mixed norm spaces. By applying this extrapolation theory, we obtain the mapping properties of the Rubio de Francia Littlewood-Paley functions and the geometrical maximal functions on mixed norm spaces. As special cases of these results, we have the mapping properties on the mixed norm Lebesgue spaces with variable exponents and the mixed norm Lorentz spaces. Copyright © 2021 University of Tartu Press.
Original languageEnglish
Pages (from-to)281-296
JournalActa et Commentationes Universitatis Tartuensis de Mathematica
Volume25
Issue number2
Early online date17 Nov 2021
DOIs
Publication statusPublished - Dec 2021

Citation

Ho, K.-P. (2021). Extrapolation to mixed norm spaces and applications. Acta et Commentationes Universitatis Tartuensis de Mathematica, 25(2), 281-296. doi: 10.12697/ACUTM.2021.25.18

Keywords

  • Mixed norm space
  • Extrapolation
  • Littlewood–Paley functions
  • Geometrical maximal functions

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