PLEMELJ FORMULA OF CAUCHY TYPE INTEGRAL ON STEIN MANIFOLDS

Let D be a bounded domain with piecewise C(1) smooth orientable boundary on Stein manifolds, and let Φ(z) be a Cauchy type integral with Bochner-Martinelli kernel Ω(ψv, -S, S) and Holder continuous density function ψ(ζ), the authors define a solid angular coefficient α(t) at the point t ∈(e)D, prove that there exist the interior and outer limit values Φ± (t) under the meaning of the Cauchy principal value, and obtain the more general Plemelj formula and jump formula.

作 者： Chen Lüping Lin Liangyu   作者單位： Department of Mathematics, Xiamen University, Xiamen 361005, China  刊 名： 數(shù)學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(4)  分類號： O4  關鍵詞： Stein manifold   Cauchy type integral   Plemelj formula   solid angular coefficient  

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