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

Sanghyun Cho and Young Hwan You

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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, Caratheodory, and Kobayashi metrics in a small constant and large constant sense.

Date: 2014
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https://doi.org/10.1155/2014/697160

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:697160

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