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

Autor: Sanghyun Cho, Young Hwan You
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2014/697160
Popis: 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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