Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries (Q2732206)
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scientific article; zbMATH DE number 1623389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries |
scientific article; zbMATH DE number 1623389 |
Statements
19 May 2002
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Bochner-Martinelli kernel
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Plemelj formula
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Hölder continuity
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Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries (English)
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The main theorem is that on a domain in \(\mathbb{C}^{n}\) with only piecewise smooth boundary, the Bochner-Martinelli transform of a Hölder continuous function extends to the boundary (from either side) as a Hölder continuous function with the same Hölder exponent. The authors state that their work improves on that of \textit{Shujin Chen} [J. Math. Res. Expo. 14, No. 3, 391-398 (1994; Zbl 0886.32002)].
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