Weighted variable Sobolev spaces and capacity (Q657315)
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scientific article; zbMATH DE number 5997921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted variable Sobolev spaces and capacity |
scientific article; zbMATH DE number 5997921 |
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Weighted variable Sobolev spaces and capacity (English)
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16 January 2012
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Summary: We define weighted variable Sobolev capacity and discuss properties of capacity in the space \(W^{1,p(\cdot)} (\mathbb R^n, w)\). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on the space \(W^{1,p(\cdot)} (\mathbb R^n, w)\). Also the relation between the Sobolev capacity and Bessel capacity is shown.
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Sobolev capacity
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Bessel capacity
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