A global approximation result by Al Taylor and the strong openness conjecture in C^n
Complex Variables
2016-04-26 v1
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.
Keywords
Cite
@article{arxiv.1604.07305,
title = {A global approximation result by Al Taylor and the strong openness conjecture in C^n},
author = {John Erik Fornæss and Jujie Wu},
journal= {arXiv preprint arXiv:1604.07305},
year = {2016}
}
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12 pages