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On Some Properties of Squeezing Functions of Bounded Domains
[article]
2011
arXiv
pre-print
The main purpose of the present paper is to introduce the notion of squeezing functions of bounded domains and study some properties of them. The relation to geometric and analytic structures of bounded domains will be investigated. Existence of related extremal maps and continuity of squeezing functions are proved. Holomorphic homogeneous regular domains are exactly domains whose squeezing functions have positive lower bounds. Completeness of certain intrinsic metrics and pseudoconvexity of
arXiv:1109.3920v1
fatcat:4oekn3tpqnbajeym4jx2f46hhi