Abstract and Applied Analysis

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

Mourad Jelassi and Hatem Mejjaoli

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Abstract

We define and study Sobolev-type spaces W A s , p + 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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 248725, 13 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606525

Digital Object Identifier
doi:10.1155/2014/248725

Mathematical Reviews number (MathSciNet)
MR3178858

Zentralblatt MATH identifier
07021994

Citation

Jelassi, Mourad; Mejjaoli, Hatem. Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 248725, 13 pages. doi:10.1155/2014/248725. https://projecteuclid.org/euclid.aaa/1412606525


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