some remarks concerning the jacobi-dunkl transform in the space lp(r,aα,β(t)dt)
;R. Daher;S. El Ouadih;A. Belkhadir
artium2015Vol. 8pp. 104-109
149
daher2015internationalsome
Abstract
In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2, α≠−1/2.