Some recent developments of high order Sobolev-type spaces (Q2836051)
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scientific article; zbMATH DE number 6661922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some recent developments of high order Sobolev-type spaces |
scientific article; zbMATH DE number 6661922 |
Statements
7 December 2016
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Sobolev spaces
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Besov spaces
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Triebel-Lizorkin spaces
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Morrey-Sobolev spaces
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ball average
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Lusin area function
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Littlewood-Paley function
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metric measure spaces
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spaces of homogeneous type
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Some recent developments of high order Sobolev-type spaces (English)
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Several characterizations of Sobolev spaces, Besov spaces and Triebel-Lizorkin spaces are established. These characterizations are independent of the differential structure. Therefore, they provide several approaches to study the corresponding function spaces in metric measure spaces. In particular, a number of open questions about these spaces on metric measure spaces are presented in the last section.
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