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

Document Type: Original Article


Department of Mathematics, University of Tunis


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 Taylor's formula has a given order. We provide characterization of these spaces by the Dunkl convolution.