数学物理学报(英文版)

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THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS

钟同德; 陈吕萍   

  1. 厦门大学数学学院, 厦门 361005
  • 收稿日期:2004-10-18 修回日期:2005-01-21 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 陈吕萍
  • 基金资助:

    The project was supported by the Natural Science Foundation of Fujian Province of China (Z0511002) and the National Science Foundation of China
    (10271097, 10571144), Foundation of Tianyuan (10526033).

THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS

Zhong Tongde; Chen Luping   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2004-10-18 Revised:2005-01-21 Online:2006-10-20 Published:2006-10-20
  • Contact: Chen Luping

摘要:

Using the method of localization, the authors obtain the permutation formula of singular integrals with Bochner-Martinelli kernel for a relative compact domain with C(1) smooth boundary on a Stein manifold. As an application the authors discuss the regularization problem for linear singular integral equations with Bochner--Martinelli kernel and variable coefficients; using permutation formula, the singular integral equation can be reduced to a fredholm equation.

关键词: Stein manifold, singular integral with Bochner--Martinelli kernel, permutation formula, regularization problem

Abstract:

Using the method of localization, the authors obtain the permutation formula of singular integrals with Bochner-Martinelli kernel for a relative compact domain with C(1) smooth boundary on a Stein manifold. As an application the authors discuss the regularization problem for linear singular integral equations with Bochner--Martinelli kernel and variable coefficients; using permutation formula, the singular integral equation can be reduced to a fredholm equation.

Key words: Stein manifold, singular integral with Bochner--Martinelli kernel, permutation formula, regularization problem

中图分类号: 

  • 32A25