Strong Stein neighborhood bases

Details Strong Stein neighborhood bases Strong Stein neighborhood bases

2007-05-03

arxiv.org/abs/0705.0507v4

Mathematics

Complex Variables

14 pages, fixed same references, to appear in Complex Var. Elliptic Equ

Scientific paper

Let D be a smooth bounded pseudoconvex domain in C^n. We give several
characterizations for the closure of D to have a strong Stein neighborhood
basis in the sense that D has a defining function r such that {z\in C^n:r(z)is pseudoconvex for sufficiently small a>0. We also show that this condition is
invariant under proper holomorphic maps that extend smoothly to the boundary.

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