Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3

Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that z0∈bΩ is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve Γ⊂Ω∪{z0}, connecting points  q0∈Ω and z0∈bΩ, and a quantity M(z,X), along z∈Γ, which bounds from above and below the Bergman, Caratheo...

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Bibliographic Details
Main Authors: Sanghyun Cho, Young Hwan You
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/697160