A global approximation result by Al Taylor and the strong openness conjecture in C^n

John Erik Fornæss; Jujie Wu

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arXiv · 1604.07305

A global approximation result by Al Taylor and the strong openness conjecture in C^n

John Erik Fornæss·Jujie Wu

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Abstract

We improve a global approximation result by Al Taylor in C^n for holomorphic functions in weighted Hilbert spaces. The main tools are a variation of the theorem of Hormander on weighted L^2-estimates for the dbar-equation together with the solution of the strong openness conjecture. A counterexample to a global strong openness conjecture in Cn is also given here.

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John Erik Fornæss, Jujie Wu. 2016-04-25. A global approximation result by Al Taylor and the strong openness conjecture in C^n. https://arxiv.org/abs/1604.07305

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