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- Title
Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in ℂ³.
- Authors
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 ⌈ Ω U (z0), connecting points q0 ∈ Ω and z0 ∈ bΩ, and a quantity M(z,X), along z ∈ ⌈, which bounds from above and below the Bergman, Caratheodory, and Kobayashi metrics in a small constant and large constant sense.
- Subjects
INVARIANTS (Mathematics); PSEUDOCONVEX domains; MODULAR arithmetic; CURVES; ESTIMATION theory; MATHEMATICAL models
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/697160