来自竞争CR结构的CR函数的和
Sums of CR functions from competing CR structures
摘要:
在本文中,我们的CR功能的竞争CR结构在两种情况下的特征和。在一种情况下,结构是共轭的,我们增加了多谐边界值的理论。在第二种情况下的结构是相关的投影对偶的考虑。在这两种情况下,我们提供了明确的向量场为基础的二维圆形域满足自然凸性条件的特征。
英文摘要:
In this paper we characterize sums of CR functions from competing CR structures in two scenarios. In one scenario the structures are conjugate and we are adding to the theory of pluriharmonic boundary values. In the second scenario the structures are related by projective duality considerations. In both cases we provide explicit vector field-based characterizations for two-dimensional circular domains satisfying natural convexity conditions.
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