Abstract
This paper is an offspring of the previous study on Herz spaces. A new characterization of Morrey-Herz spaces is given. As applications, the boundedness of various operators is obtained. For example, higher-order commutators generated by singular integral operators and BMO functions are proved to be bounded on Morrey-Herz spaces. The theory of Morrey-Herz-Hardy spaces is also developed. Copyright © 2025 Springer-Verlag GmbH Germany & The Editorial Office of AMS.
| Original language | English |
|---|---|
| Pages (from-to) | 327-354 |
| Journal | Acta Mathematica Sinica, English Series |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2025 |
Citation
Ho, K. P., & Sawano, Y. (2025). New characterization of Morrey-Herz spaces and Morrey-Herz-Hardy spaces with applications to various linear operators. Acta Mathematica Sinica, English Series, 41(1), 327-354. https://doi.org/10.1007/s10114-025-3570-2Keywords
- Herz spaces
- Weights
- Hardy spaces