In this paper we obtain necessary and sufficient conditions on the parameters for the
boundedness of the Dunkl-type fractional maximal operator Mβ, and the Dunkl-type …

Reflection groups in analysis and applications Page 1 Japan. J. Math. 3, 215–246 (2008) DOI:
10.1007/s11537-008-0819-3 Reflection groups in analysis and applications Charles F. Dunkl …

In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl
spaces and we prove an interpolation formula for these spaces by the real method. We give …

Norm inequalities for several classical operators of harmonic analysis have been widely
studied in the context of Orlicz spaces. It is well known that many of such operators fail to …

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 …

In this work we consider the Dunkl operator on the real line, defined by $${\cal D} _kf (x):=
f'(x)+ k\dfrac {f (x)-f (-x)}{x},\,\, k\geq0. $$ We define and study Dunkl–Sobolev spaces $ L^ p …

For functions f∈ L 2 R d, wl (x) dx with wl is a weight function invariant under the action of an
associated Weyl group, we give necessary and sufficient conditions for f to belong to the …

This paper deals with generalized Lipschitz spaces ∧^ k_ α, p, q (R)∧ α, p, qk (R) in the
context of Dunkl harmonic analysis on RR, for all real α α. It also introduces a generalized …

First, we prove that the Dunkl-type maximal operator $ M_ {\alpha} $ is bounded on the
generalized Dunkl-type Morrey spaces ${\cal M} _ {p,\omega,\alpha} $ for $1< p<\infty $ and …

arXiv:1012.5769v1 [math.FA] 28 Dec 2010 Page 1 arXiv:1012.5769v1 [math.FA] 28 Dec 2010
International Journal of Pure and Applied Mathematics Volume 39, No 4, pp. 475-488, 2007 …