Sets of Approximation and Interpolation in ℂ for Manifold-Valued Maps

被引：0

作者：

Debraj Chakrabarti

机构：

[1] University of Western Ontario,Department of Mathematics

来源：

Journal of Geometric Analysis | 2008年 / 18卷

关键词：

Mergelyan-type Approximation; Manifold-valued maps; 32Q99; 32H02; 30E10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give examples of non-smooth sets in the complex plane with the property that every holomorphic map continuous to the boundary from these sets into any complex manifold may be uniformly approximated by maps holomorphic in some neighborhood of the set (Mergelyan-type approximation for manifold-valued maps.) Similar results are proved for sections of complex-valued holomorphic submersions from complex manifolds.

引用

页码：720 / 739

页数：19

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