Boundedness and compactness of Dunkl two-wavelet multipliers

Abstract

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 [Formula: see text] into [Formula: see text] 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 [Formula: see text], [Formula: see text].