Fractional order Sobolev spaces on Wiener space (Q1326319)
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scientific article; zbMATH DE number 569053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional order Sobolev spaces on Wiener space |
scientific article; zbMATH DE number 569053 |
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Fractional order Sobolev spaces on Wiener space (English)
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14 July 1994
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Fractional order Sobolev spaces are introduced on an abstract Wiener space and Donsker's delta functions are defined as generalized Wiener functionals belonging to Sobolev spaces with negative differentiability indices. By using these notions, the regularity in the sense of Hölder continuity of a class of conditional expectations is obtained.
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fractional order Sobolev spaces
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abstract Wiener space
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Donsker's delta functions
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generalized Wiener functionals
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Hölder continuity
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