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Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent
- Publication Year :
- 2019
-
Abstract
- Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and sufficient conditions for the corresponding modular inequalities to hold. One big achievement is that the weights with exponetial growth can be handled in the framework of variable exponents.<br />Comment: 17 pages
- Subjects :
- Mathematics - Functional Analysis
42B35, 42C40
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1912.03400
- Document Type :
- Working Paper