Chokri Abdelkefi

Besov-Type Spaces on R d and Integrability for the Dunkl Transform ?

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 another characterization for these spaces by convolution. Finally, we estab- lish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space.

Besov-Dunkl spaces connected with generalized Taylor formula on the real line

In the present paper, we define for the Dunkl tranlation operators on the real line, the Besov-Dunkl space of functions for which the remainder in the generalized Taylors formula has a given order. We provide characterization of these spaces by the Dunkl convolution.