Local Ck─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C1─boundary

数学季刊 ›› 1995, Vol. 10 ›› Issue (1): 87-92.

Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary

Dept. of Math.,Shandong Norm. Univ.,Jinan 250014

收稿日期:1994-11-10 出版日期:1995-03-30 发布日期:2025-04-02

Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary

Received:1994-11-10 Online:1995-03-30 Published:2025-04-02

摘要/Abstract

摘要： The real analyticity of a-closed (p,q)-form Koppelman-Leray operator Tp,g is considered in this paper,and as a generation of [1],the integral solution operators of the eqution on an open set D with piecewise C'-boundary locally preserve the real analyticity of a= closed(p,q)-forms at boundary point near which aD is totally convex in the complex tangential directions have been obtained.

关键词: , real analytic boundary, a-equations, Koppelman-Leray operator ,

Abstract: The real analyticity of a-closed (p,q)-form Koppelman-Leray operator Tp,g is considered in this paper,and as a generation of [1],the integral solution operators of the eqution on an open set D with piecewise C'-boundary locally preserve the real analyticity of a= closed(p,q)-forms at boundary point near which aD is totally convex in the complex tangential directions have been obtained.

Key words: , real analytic boundary, a-equations, Koppelman-Leray operator ,

中图分类号:

O241

马忠泰. Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary[J]. 数学季刊, 1995, 10(1): 87-92.

Ma Zhongtai. Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary[J]. Chinese Quarterly Journal of Mathematics, 1995, 10(1): 87-92.

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Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary

Local C^k─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C¹─boundary

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