Article ID Journal Published Year Pages File Type
5775284 Journal of Mathematical Analysis and Applications 2017 13 Pages PDF
Abstract
Let K be a compact subset of a totally-real manifold M, where M is either a C2-smooth graph in C2n over Cn, or M=u−1{0} for a C2-smooth submersion u from Cn to R2n−k, k≤n. In this case we show that K is polynomially convex if and only if for a fixed neighbourhood U, defined in terms of the defining functions of M, there exists a plurisubharmonic function Ψ on Cn such that K⊂{Ψ<0}⊂U.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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