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具逐片C^1边界条件开集上的C—R方程的积分解算子 被引量:1
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作者 马忠泰 《Chinese Quarterly Journal of Mathematics》 CSCD 1994年第3期88-94,共7页
The methods of Niles ψ vrelid which he used in strictly pseudoconvex domains are cosulted,in this paper,and not only for imbomogeneous cauchy-Riemann equaitons on some cases that for bounded open sets with C^-boundar... The methods of Niles ψ vrelid which he used in strictly pseudoconvex domains are cosulted,in this paper,and not only for imbomogeneous cauchy-Riemann equaitons on some cases that for bounded open sets with C^-boundary,bounded open sets with piecewise C^1-boundary,and peudoconvex domains with C^1-boundary are discussed,but also their linear integral operators solutions and elementary estimated are corresponding given. 展开更多
关键词 C^1边界条件 C-R方程 积分解算子
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具逐片C^1边界的开集上的δ^—方程的积分解算子的局部C^*边界正则性
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作者 马忠泰 《Chinese Quarterly Journal of Mathematics》 CSCD 1995年第1期87-92,共6页
The real analyticity of δ-closed(p,q)-form Koppelman-Leray operator Tp,q is considered in this paper,and as a generation ,of [1],the integral solution operators of the δ-equation on an open set D with piecewise C^1-... The real analyticity of δ-closed(p,q)-form Koppelman-Leray operator Tp,q is considered in this paper,and as a generation ,of [1],the integral solution operators of the δ-equation on an open set D with piecewise C^1-boundary locally preserve the real analyticity of δ-closed(p,q)-forms at boundary point near which δ D is totally convex in the complex tangential directions have been obtained. 展开更多
关键词 C^1边界 δ^-方程 积分解算子 局部C^*边界 正则性
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Cauchy-Riemann方程解的积分表示与延拓定理 被引量:4
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作者 马忠泰 钟同德 《工程数学学报》 CSCD 北大核心 1998年第1期30-34,78,共6页
研究了Cn空间中具逐片C1-边界的开集上Cauchy-Riemann方程解的特征,给出了Cauchy-Riemann方程解的积分表示形式和解的延拓定理.
关键词 CAUCHY-RIEMANN方程 Hartogs延拓定理 C^1-边界 (p q)-形式
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