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《JOURNAL OF XIAMEN UNIVERSITY(NATURAL SCIENCE)》 2000-01
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The Boundary Behaviour on a Convex Domain in a Stein Manifold

QIU Chun hui (Dept. of Math., Xiamen Univ., Xiamen 361005, China)  
The boundary behaviour on a convex domain in C n and a Stein manifold is studied. By using the technique of localization and the Coxoцкu u∨ Plemelj formula on a convex domain in C n , Cauchy principal values of singular integrals of Cauchy type integrals with Aizerberg kernel in a Stein manifold are defined and the Coxoцкu uV Plemelj formula on a convex domain in a Stein manifold is obtained as follows: F +(η)= V.P .∫ M ξ f(ξ)K(η,ξ)+12f(η),η∈M, A -(η)= V.P .∫ M ξ α(ξ) TK(η,ξ)-12α(η),η∈M, where, f(ξ)∈D 0,0 (M),α(ξ)∈D n,n-1 (M), M is the boundary of the convex domain.
【Fund】: 国家自然科学基金!(19771068);;福建省自然科学基金!(A9810001)
【CateGory Index】: O174.56
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【Citations】
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【Co-citations】
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2 LING Ai-fan,XU Zhong-yi (Department of Mathematics, Nanchang University, Nanchang 330047,China);Singular Integral on the Characterisitc Manifold of Hypersphere Topolgical Product Domains[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2004-03
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4 MA Zhong-tai,ZHANG Qi-qian (Dept.of Math.,China Institute of Coal Economics, Yantai 264005,China);Boundary properties of Bochner-Martinelli type integral[J];Pure and Applied Mathematics;2002-04
5 ZHAO Xiao-dong1,YAO Yi-min2(1.Dept.of Mathematics,Kangding Teacher College,Kangding Sichuan 626001;2.Dept.of Mathematics and Computer Science,Chongqing College of Arts and Science,Yongchuan 402160,China);A Nonlineas Boundary Value Psoblem in Bianalytic Analytic Functions of Several Complex Variable[J];Journal of Chongqing Normal University(Natural Science);2008-02
6 WANG Pei-lin(College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China);A property of sequence of functions with uniformly bounded norm in C~n[J];;2004-04
7 HUANG Yu-sheng(Department of mathematics,Putian Advance College Fujian 351100,China);Boundary Behaviors for the Integral of B-M Type on A Closed Piecewise Subsmooth Manifold[J];Journal of Gannan Teacher's College;2001-06
8 ZENG Zhao-yun HU Lin (Pingdingshan College,Pingdingshan,Henan 467002);The B-Type Integral and H-Type Integral on the Complex Hyper-sphere Topological Product Domains[J];Journal of Huaihua University;2008-11
9 LIU Xiao-mei1,LIU Juan2,YU Jun-jie3(1.Department of Mathematics,Jiujiang University,Jiangxi Jiujiang 332005 PRC;2.High School Attached to Jinggangshan University,Jiangxi Ji′an 343000 RPC;3.Jiujiang University,Jiangxi Jiujiang 332005 PRC);One Higher Order Singular Integral Equations with Extensional B-M Kernel on Smooth Closed Orientable Manifolds[J];Jiangxi Science;2010-05
10 HUANG Yu-sheng (Department of Mathematics, Putian College, Putian 351100, Fujian, China);The Riemann boundary value problem in several complex variables[J];Journal of Lanzhou University;2006-03
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