Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries (Q2732206)

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scientific article; zbMATH DE number 1623389
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Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries
scientific article; zbMATH DE number 1623389

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    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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