Abstract
In this paper, we establish the mapping properties of sublinear operators on Herz–Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz–Hardy spaces with variable exponents. In particular, we study the mapping properties of the multiplier operators, the Littlewood–Paley functions and the parametric Marcinkiewicz integrals on the Herz–Hardy spaces with variable exponents. Copyright © 2022 Wiley-VCH GmbH.
| Original language | English |
|---|---|
| Pages (from-to) | 876-889 |
| Journal | Mathematische Nachrichten |
| Volume | 295 |
| Issue number | 5 |
| Early online date | 08 Apr 2022 |
| DOIs | |
| Publication status | Published - May 2022 |
Citation
Ho, K.-P. (2022). Sublinear operators on Herz–Hardy spaces with variable exponents. Mathematische Nachrichten, 295(5), 876-889. doi: 10.1002/mana.202000161Keywords
- Extrapolation
- Hardy space
- Herz spaces
- Littlewood–Paley functions
- Marcinkiewicz integrals
- Multipliers
- Sublinear operators
- Variable exponent