Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775284 | Journal of Mathematical Analysis and Applications | 2017 | 13 Pages |
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=uâ1{0} for a C2-smooth submersion u from Cn to R2nâk, kâ¤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 Kâ{Ψ<0}âU.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sushil Gorai,