Sobolev cohomology for locally polycylindrical domains (Q1607833)
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scientific article; zbMATH DE number 1780332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev cohomology for locally polycylindrical domains |
scientific article; zbMATH DE number 1780332 |
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Sobolev cohomology for locally polycylindrical domains (English)
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13 August 2002
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The author proves a vanishing theorem for the cohomology with values in the sheaf of holomorphic functions which are in some Sobolev spaces on what he calls a locally polycylindrical domain in \(\mathbb{C}^n\); the method is practically the same as that of previous work of the author [Rend. Mat., VI. Ser. 12, No. 3-4, 587-596 (1979; Zbl 0454.32018)] where he considered the sheaf of germs of bounded holomorphic functions on the closure of a polycylinder.
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locally polycylindrical domain in \(\mathbb{C}^n\)
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vanishing theorem
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cohomology
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sheaf of holomorphic functions
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Sobolev spaces
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0.8973607
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0.88973564
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0.88786286
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0.88649595
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0.8850583
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0.8784442
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