Journal of Function Spaces and Applications (Jan 2006)
Generalized weighted Besov spaces on the Bessel hypergroup
Abstract
In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces.