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2018 Wavelets in weighted norm spaces
Kazaros S. Kazarian, Samvel S. Kazaryan, Angel San Antolín
Tohoku Math. J. (2) 70(4): 567-605 (2018). DOI: 10.2748/tmj/1546570826

Abstract

We give a complete characterization of the classes of weight functions for which the higher rank Haar wavelet systems are unconditional bases in weighted norm Lebesgue spaces. Particulary it follows that higher rank Haar wavelets are unconditional bases in the weighted norm spaces with weights which have strong zeros at some points. This shows that the class of weight functions for which higher rank Haar wavelets are unconditional bases is much richer than it was supposed.

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Kazaros S. Kazarian. Samvel S. Kazaryan. Angel San Antolín. "Wavelets in weighted norm spaces." Tohoku Math. J. (2) 70 (4) 567 - 605, 2018. https://doi.org/10.2748/tmj/1546570826

Information

Published: 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07040977
MathSciNet: MR3896138
Digital Object Identifier: 10.2748/tmj/1546570826

Subjects:
Primary: 41A65
Secondary: 41A25, 41A46, 46B20

Rights: Copyright © 2018 Tohoku University

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Vol.70 • No. 4 • 2018
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