On embeddings of logarithmic Bessel potential and Sobolev-type spaces (Q2707670)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On embeddings of logarithmic Bessel potential and Sobolev-type spaces |
scientific article |
Statements
3 April 2001
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Lorentz-Zygmund spaces
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Orlicz spaces
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spaces of Hölder continuous functions
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Bessel potential spaces
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embeddings
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embeddings of Sobolev spaces into spaces of almost Lipschitz continuous functions
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Sobolev embedding theorems
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Trudinger's limiting embedding
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On embeddings of logarithmic Bessel potential and Sobolev-type spaces (English)
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The aim of the paper is to give a survey of results on embedding theorems for Bessel potential spaces modelled upon generalized Lorentz-Zygmund (GLZ) spaces. Targets of such embeddings are GLZ-spaces, Orlicz spaces or spaces of Hölder-continuous functions. In particular, the given results represent refinements of Sobolev embedding theorems, Trudinger's limiting embedding and the result of Brézis and Wainger on embeddings of Sobolev spaces into spaces of almost Lipschitz continuous functions.NEWLINENEWLINEFor the entire collection see [Zbl 0933.00035].
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