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

Joint Authors

Mejjaoli, Hatem
Jelassi, Mourad

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-04

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract 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.

American Psychological Association (APA)

Jelassi, Mourad& Mejjaoli, Hatem. 2014. Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013541

Modern Language Association (MLA)

Jelassi, Mourad& Mejjaoli, Hatem. Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1013541

American Medical Association (AMA)

Jelassi, Mourad& Mejjaoli, Hatem. Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013541

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013541