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 language | English |
|---|---|
| Pages (from-to) | 559-574 |
| Journal | Rendiconti del Circolo Matematico di Palermo |
| Volume | 70 |
| Issue number | 1 |
| Early online date | 18 May 2020 |
| DOIs | |
| Publication status | Published - Apr 2021 |
Citation
Ho, K.-P. (2021). Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents. Rendiconti del Circolo Matematico di Palermo, 70(1), 559-574. doi: 10.1007/s12215-020-00511-8Keywords
- Herz spaces
- Variable exponent
- Extrapolation
- Spherical maximal function
- Maximal Bochner–Riesz means
- Geometrical maximal functions