On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform

Аннотация

Using a generalized spherical mean operator, we obtain a generalization of two theorems 84 and 85 of Titchmarsh for the Dunkl transform for functions satisfying the Dunkl—Lipschitz condition in the space L^p(ℝ^d, w_k(x)dx), where 1 < p ≤ 2.