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(xué)物理學(xué)報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(4)  分類號： O4  關(guān)鍵詞： Stein manifold   Cauchy type integral   Plemelj formula   solid angular coefficient  

【PLEMELJ FORMULA OF CAUCHY TYPE INTEG】相關(guān)文章：

Why are There Indica Type and Japonica Type in Rice?-History of the Studies and a View for Origin of Two Types04-26

Density-functional formula for strongly correlated systems04-26

Regular Global Attractors of Type Ⅲ Thermoelastic Extensible Beams04-26

一類門票：Type I tickets05-04

Twenty-word formula (英語寫作20字訣)05-04

正則函數(shù)的修正的Cauchy型積分算子的不動點定理及迭代構(gòu)造04-26

Tripod-type四能級原子系統(tǒng)中的非線性效應(yīng)04-26

NOVEL POLYPYRROLE MICROSTRUCTURES GENERATED BY DIRECT ELECTROCHEMICAL OXIDATION OF PYRROLE ON p-TYPE SILICON SUBSTRATE04-27