THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS  被引量:1

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

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作  者:钟同德 陈吕萍 

机构地区:[1]School of Mathematical Sciences Xiamen University,Xiamen 361005,China

出  处:《Acta Mathematica Scientia》2006年第4期679-690,共12页数学物理学报(B辑英文版)

基  金: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.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 

分 类 号:O175.5[理学—数学]

 

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