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Boundedness and compactness of Reimann-Liouville two-wavelet multipliers
Journal article

Boundedness and compactness of Reimann-Liouville two-wavelet multipliers

Hatem Mejjaoli and Slim Omri
Journal of pseudo-differential operators and applications, Vol.9(2), pp.189-213
01/06/2018
DOI: https://doi.org/10.1007/s11868-018-0235-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce the notion of a Reimann-Liouville two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from into in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of Reimann-Liouville two-wavelet multipliers on L-p(dv(alpha)), 1 <= p <= infinity.

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