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Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform
Journal article   Peer reviewed

Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform

Miloud Assal and Atef Rahmouni
Integral transforms and special functions, Vol.25(3), pp.173-181
04/03/2014
DOI: https://doi.org/10.1080/10652469.2013.838754

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
For the Hardy space H-p((K) over cap), 0<p1 and <(K)over cap> is the dual of Laguerre hypergroup, we shall establish a Hardy's type inequality associated with inverse Laguerre Fourier transform for the strip 2Q(2-p)<sigma<2Q+p(2N+2), where N=[Q(1/p-1)] is the greatest integer not exceeding Q(1/p-1) and Q is the homogenous dimension of (K) over cap.

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