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Extrapolation to weighted Morrey spaces with variable exponents and applications
- Source :
- Proceedings of the Edinburgh Mathematical Society. 64:1002-1027
- Publication Year :
- 2021
- Publisher :
- Cambridge University Press (CUP), 2021.
-
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.
Details
- ISSN :
- 14643839 and 00130915
- Volume :
- 64
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Edinburgh Mathematical Society
- Accession number :
- edsair.doi...........e165352b66314ad42ce4f2316fce9ea3