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On Nash and Carlson's Inequalities for Symmetric q-Integral Transforms
Journal article   Peer reviewed

On Nash and Carlson's Inequalities for Symmetric q-Integral Transforms

Manel Hleili and Kamel Brahim
Complex analysis and operator theory, Vol.10(6), pp.1339-1350
01/08/2016
DOI: https://doi.org/10.1007/s11785-015-0523-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The aim of this paper is to prove an versions of Nash and Carlson's inequalities for a class of q-integral operator with a bounded kernel. As applications, we give q-analogues of Nash and Carlson's inequalities for the q-Fourier-cosine, q-Fourier-sine, q-Dunkl and q-Bessel Fourier transforms.

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