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Boundedness and compactness of Dunkl two-wavelet multipliers
Journal article   Peer reviewed

Boundedness and compactness of Dunkl two-wavelet multipliers

Hatem Mejjaoli
International journal of wavelets, multiresolution and information processing, Vol.15(5), p.1750048
01/09/2017
DOI: https://doi.org/10.1142/S0219691317500485

Abstract

Computer Science Computer Science, Software Engineering Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology Technology
We introduce the notion of a Dunkl two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from L-k(2) (R-d) into L-k(2) (R-d) in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of Dunkl two-wavelet multipliers on L-k(p) (R-d), 1 <= p <= infinity.

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