An Lp - Lq-version of Morgan's theorem for the generalized Fourier transform on the real line

The theory of Dunkl operators provides generalizations of var- ious multivariable analytic structures, among others we cite the exponential function, the Fourier transform and

Younis ([7], Theorem 5.2) characterized the set of functions in L 2 ðRÞ satisfying the Dini-Lipschitz condition by means of an asymptotic estimate growth of the norm of their

Titchmarsh’s [5, Therem 85] characterized the set of functions in L 2 ( R ) satisfying the Cauchy Lipschitz condition by means of an asymptotic estimate growth of the norm of

Dunkl, Hankel transforms associated to finite reflection groups inProceedings of Special Session on Hypergeometric Functions on Domains of Positivity, Jack Polynomials and

To cite this article: Radouan Daher & Sidi Lafdal Hamad (2008): L p –L q -version of Morgan's theorem for the Jacobi–Dunkl transform, Integral Transforms and

Khadari proved L p 1 − L p 2 Version of Miyachi’s Theorem for the q-Dunkl Transform on the Real Line and concluded the Miyachi’s Teorem for q-Bessel transform on the Real Line just

Mathematics Subject Classification: 33D15, 33D60, 39A12, 44A20 Keywords: Hardy uncertainty principle, Miyachi’s theorem, q-Dunkl Trans- form, q-Fourier analysis..

have formulated in [13] the Hardy’s theorem in terms of the heat kernel of the Jacobi–Dunkl operator.. In the first part of this paper, applying the same method as in [14], we