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Published in 2018 at "Tohoku Mathematical Journal"
DOI: 10.2748/tmj/1546570826
Abstract: We give a complete characterization of the classes of weight functions for which the Haar wavelet system for $m$-dilations, $m= 2,3,\ldots$ is an unconditional basis in $L^p(\mathbb{R},w)$. Particulary it follows that higher rank Haar wavelets…
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Keywords:
norm spaces;
weighted norm;
wavelets weighted;