We obtain several versions of the Hausdorff–Young and Hardy–Littlewood inequalities for
the (k, a)-generalized Fourier transform recently investigated at length by Ben Saïd …

We prove Paley–Littlewood decompositions for the scales of fractional powers of 0‐sectorial
operators A on a Banach space which correspond to Triebel–Lizorkin spaces and the scale …

In this paper we study direct and inverse approximation inequalities in L p (R d), 1< p<∞,
with the Dunkl weight. We obtain these estimates in their sharp form substantially improving …

In the present paper, we study first the behavior at infinity of the Riesz potential for Dunkl
transform of a non compactly supported function. Second, we give for 1< p ≤ q<+ ∞ 1< p≤ …

This paper explores the realm of fractional integral calculus in connection with the one-
dimensional Dunkl operator on the space of tempered functions and Lizorkin type space …

We define and study the Bessel potential and inhomogeneous Besov spaces associated
with the Dunkl operators on $\mathbf {R}^ d $. As applications on these spaces we construct …

We consider Dunkl theory on Rd associated to a finite reflection group G. We establish first
an estimate for the Dunkl translation of the characteristic function of a closed ball with radius …

In this paper we define the homogeneous Besov spaces associated with the Dunkl
operators on Rd, and we give a complete analysis on these spaces and same applications …

We introduce first weighted function spaces on R^ d using the Dunkl convolution that we call
Besov-Dunkl spaces. We provide characterizations of these spaces by decomposition of …

Full article: Generalized heat equation and applications Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …