Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents

Research output: Contribution to journalArticles

Abstract

This paper establishes the mapping properties of the spherical maximal function, the maximal Bochner–Riesz mean, the geometrical maximal functions and the minimal function on Herz spaces with variable exponents. We obtain these results by extending the extrapolation theory to Herz spaces with variable exponents. Copyright © 2020 Springer-Verlag Italia S.r.l., part of Springer Nature.
Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
Early online date18 May 2020
Publication statusE-pub ahead of print - 18 May 2020

Citation

Ho, K.-P. (2020). Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents. Rendiconti del Circolo Matematico di Palermo. Advance online publication. doi: 10.1007/s12215-020-00511-8

Keywords

  • Herz spaces
  • Variable exponent
  • Extrapolation
  • Spherical maximal function
  • Maximal Bochner–Riesz means
  • Geometrical maximal functions

Fingerprint Dive into the research topics of 'Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents'. Together they form a unique fingerprint.