Abstract
This paper establishes the mapping properties of pseudo-differential operators and the Fourier integral operators on the weighted Morrey spaces with variable exponents and the weighted Triebel-Lizorkin-Morrey spaces with variable exponents. We obtain these results by extending the extrapolation theory to the weighted Morrey spaces with variable exponents. This extension also gives the mapping properties of Calderón-Zygmund operators on the weighted Hardy-Morrey spaces with variable exponents and the wavelet characterizations of the weighted Hardy-Morrey spaces with variable exponents. Copyright © 2021 The Author(s).
Original language | English |
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Pages (from-to) | 1002-1027 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 64 |
Issue number | 4 |
Early online date | 09 Nov 2021 |
DOIs | |
Publication status | Published - Nov 2021 |
Citation
Ho, K.-P. (2021). Extrapolation to weighted Morrey spaces with variable exponents and applications. Proceedings of the Edinburgh Mathematical Society, 64(4), 1002-1027. doi: 10.1017/S0013091521000742Keywords
- Morrey spaces
- Triebel–Lizorkin spaces
- Hardy–Morrey spaces
- Extrapolation
- Pseudo-differential operators
- Fourier integral operators
- Calderón–Zygmund operators
- Wavelets