Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications

الملخص EN

We define and study Sobolev-type spaces W A s , p ℝ + associated with singular second-order differential operator on 0 , ∞ .

Some properties are given; in particular we establish a compactness-type imbedding result which allows a Reillich-type theorem.

Next, we introduce a generalized Weierstrass transform and, using the theory of reproducing kernels, some applications are given.