Ls-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

数学季刊 ›› 1998, Vol. 13 ›› Issue (2): 10-15.

L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

Department of Mathematics，Shandong Normal University，Jiʾ nan，250014

收稿日期:1996-05-10 出版日期:1998-06-30 发布日期:2024-10-29

L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

Department of Mathematics，Shandong Normal University，Jiʾ nan，250014

Received:1996-05-10 Online:1998-06-30 Published:2024-10-29

摘要/Abstract

摘要： In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C^k boundary in Cⁿ,as a generalization of the solution opertators for Leray map S(z,ζ) which do not depends holomorphic on z∈D in Koppelman formula is obtained and the L^s norm estimates for the solution operators are the same as that [10] in forms.

关键词: , imhomogeneous Cauch-Riemann equations；Ls-norm estimates；Koppelman formula

Abstract: In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C^k boundary in Cⁿ,as a generalization of the solution opertators for Leray map S(z,ζ) which do not depends holomorphic on z∈D in Koppelman formula is obtained and the L^s norm estimates for the solution operators are the same as that [10] in forms.

Key words: , imhomogeneous Cauch-Riemann equations；Ls-norm estimates；Koppelman formula

中图分类号:

吕永敬, 马忠泰. L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation[J]. 数学季刊, 1998, 13(2): 10-15.

Lu Yongjing, Ma Zhongtai. L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(2): 10-15.

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L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

L^s-norm Estimates of Solutions for theImhomogeneous Cauchy- Riemann Equation

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