Abstract
We establish the vector-valued inequalities of the Ahlfors–Beurling operator on Morrey spaces with variable exponents. As consequences of these inequalities, we have the boundedness of the Ahlfors–Beurling transform on Lebesgue spaces with variable exponents and Morrey spaces. The results obtained in this paper are new in the case of Morrey spaces. Copyright © 2018 Informa UK Limited, trading as Taylor & Francis Group.
| Original language | English |
|---|---|
| Pages (from-to) | 207-220 |
| Journal | Integral Transforms and Special Functions |
| Volume | 29 |
| Issue number | 3 |
| Early online date | Jan 2018 |
| DOIs | |
| Publication status | Published - 2018 |
Citation
Ho, K.-P. (2018). The Ahlfors-Beurling transform on Morrey spaces with variable exponents. Integral Transforms and Special Functions, 29(3), 207-220. doi: 10.1080/10652469.2017.1422498Keywords
- Ahlfors–Beurling transform
- Morrey space
- Lebesgue space
- Variable exponent