Wavelets and Bidemocratic Pairs in Weighted Norm Spaces


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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.

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K. Kazarian

Universidad Autónoma de Madrid

编辑信件的主要联系方式.
Email: kazaros.kazarian@uam.es
西班牙, Madrid, 28049

A. SanAntolín

Universidad de Alicante

Email: kazaros.kazarian@uam.es
西班牙, Alicante, 03690

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