Stein流形上Bochner-Martinelli型积分的导数的Plemelj公式  

Plemelj Formulas for Derivatives of Bochner-Martinelli Integral on Stein Manifolds

作　　者：陈吕萍[1] 

机构地区：[1]厦门大学数学科学学院,厦门361005

出　　处：《数学学报（中文版）》2008年第3期549-558,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10771174);福建省自然科学基金(Z0511002);厦门大学科技创新工程基金(XDKJCX20063019)

摘　　要：运用局部化方法和双全纯映射,通过Stein流形和C^n空间中Bochner-Martinelli核的联系,借助已获得的C^n空间中导数的Plemelj公式,得到Stein流形上导数的Plemelj公式.The author uses the techniques of localization and biholomorphic maps, utilizes the relation between Bochner-Martinelli kernel on Stein manifolds and Bochner- Martinelli kernel in C^n, introduces Plemelj formulas of singular integrals and Plemelj formulas for derivatives of Bochner-Martinelli integrals in C^n which shown in papers [7, 8], and obtains the Plemelj formulas for derivatives of Bochner-Martinelli integrals on Stein manifolds.

关 键 词：STEIN流形 Bochner-Martinelli积分 奇异积分 导数的Plemelj公式 

分 类 号：O174.56[理学—数学]