Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications (Q1722433)
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scientific article; zbMATH DE number 7021994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications |
scientific article; zbMATH DE number 7021994 |
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Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications (English)
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14 February 2019
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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.
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