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

2017/04/18 by Abdelkefi, Chokri, Rached, Faten
#46E30 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 44A15 #Secondary 44A35

paper · doi:10.48550/arxiv.1704.05273

Abstract

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.

Related

• Generalized Taylor formula with integral remainder for Besov-Dunkl spaces
• Approximation theorems connected with differential-difference operator
• Weighted function spaces and Dunkl transform
• Harmonic analysis in Dunkl settings
• Homogeneous Besov Spaces in Dunkl setting