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

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  • Sanghyun Cho
  • Young Hwan You

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.

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  • Sanghyun Cho & Young Hwan You, 2014. "Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:697160
    DOI: 10.1155/2014/697160
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