A global approximation result by Al Taylor and the strong openness conjecture in Cn
Abstract
We improve a global approximation result by Al Taylor in Cn for holomorphic functions in weighted Hilbert spaces. The main tools are a variation of the theorem of Hormander on weighted L2-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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