Characterization of Besov spaces for the Dunkl operator on the real line.
Dunkl translation and uncentered maximal operator on the real line.
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30 In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space. * Supported by 04/UR/15-02.
Commutants of the Dunkl Operators in C(R)
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80 The Dunkl operators. * Supported by the Tunisian Research Foundation under 04/UR/15-02.
Besov-type spaces on R and integrability for the Dunkl transform.
Symmetric Bessel multipliers
We study the -boundedness of linear and bilinear multipliers for the symmetric Bessel transform.
Riesz transforms for Dunkl transform
In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Page 1