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

We define and study Sobolev-type spaces WAs,pℝ+ 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...

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Bibliographic Details
Main Authors: Mourad Jelassi, Hatem Mejjaoli
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/248725
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