Abstract
In this paper, we extend the two-weighted norm inequalities of singular integral operators to local Morrey spaces. This gives the mapping properties of singular integral operators from weighted local Morrey spaces to other local Morrey spaces with different weight. As application of this result, we extend the Córdoba-Fefferman inequalities to weighted local Morrey spaces. Copyright © 2023 Acta Mathematica Universitatis Comenianae.
Original language | English |
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Pages (from-to) | 253-261 |
Journal | Acta Mathematica Universitatis Comenianae |
Volume | 92 |
Issue number | 3 |
Publication status | Published - Sept 2023 |
Citation
Ho, K.-P. (2023). Two-weighted norm inequalities of singular integral operators on local Morrey spaces. Acta Mathematica Universitatis Comenianae, 92(3), 253-261.Keywords
- Two-weighted norm inequality
- Singular integral operators
- CalderónZygmund operators
- Local Morrey spaces
- Córdoba-Fefferman inequalities