Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications
type: Item
instance of: scholarly article
title: Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications
zbMATH Open document ID: 1470.42045
DOI: 10.1155/2014/248725
author: Mourad Jelassi
author: Hatem Mejjaoli
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We define and study Sobolev-type spaces \(W_A^{s, p} \left(\mathbb{R}_+\right)\) associated with singular second-order differential operator on \(\left(0, \infty\right)\). 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.
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 7021994
Wikidata QID: Q59036770
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/248725
OpenAlex ID: W1968565699
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description: scientific article; zbMATH DE number 7021994