|
|||||
|
|
| THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS | |
| 引用本文： | Chen Lüping. THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS[J]. 数学物理学报(B辑英文版), 2006, 26(4): 679-690. DOI: 10.1016/S0252-9602(06)60094-5 |
| 作者姓名： | Chen Lüping |
| 作者单位： | School of Mathematical Sciences Xiamen University Xiamen 361005，China，School of Mathematical Sciences Xiamen University，Xiamen 361005，China |
| 基金项目： | The project was supported by the Natural Science Foundation of Fujian Province of China (Z0511002)，the National Science Foundation of China (10271097,10571144)，Foundation of Tianyuan (10526033)，Chen L P, the Corresponding author |
| 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流形 单一积分 排列公式 正则化问题 |
| 收稿时间： | 2004-10-18 |
| 修稿时间： | 2005-01-21 |
THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS |
|
| Tongde Zhong,L,#xfc;ping Chen,. THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS[J]. Acta Mathematica Scientia, 2006, 26(4): 679-690. DOI: 10.1016/S0252-9602(06)60094-5 | |
| Authors: | Tongde Zhong,Lü ping Chen, |
| Affiliation: | aSchool of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
| 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. |
| Keywords: | Stein manifold singular integral with Bochner-Martinelli kernel permutation formula regularization problem |
| 本文献已被 CNKI 万方数据 ScienceDirect 等数据库收录！ | |