Email this article Wavelets and Bidemocratic Pairs in Weighted Norm Spaces
- Authors: Kazarian K.S.1, SanAntolín A.2
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Affiliations:
- Universidad Autónoma de Madrid
- Universidad de Alicante
- Issue: Vol 104, No 3-4 (2018)
- Pages: 508-517
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151393
- DOI: https://doi.org/10.1134/S0001434618090183
- ID: 151393
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Abstract
A complete characterization of weight functions for which the higher-rank Haar wavelets are greedy bases in weighted Lp spaces is given. The proof uses the new concept of a bidemocratic pair for a Banach space and also pairs (Φ, Φ), where Φ is an orthonormal system of bounded functions in the spaces Lp, p≠2.
About the authors
K. S. Kazarian
Universidad Autónoma de Madrid
Author for correspondence.
Email: kazaros.kazarian@uam.es
Spain, Madrid, 28049
A. SanAntolín
Universidad de Alicante
Email: kazaros.kazarian@uam.es
Spain, Alicante, 03690
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