Details

Autor(en) / Beteiligte

• Cho, Sanghyun
• You, Young Hwan
• Kim, Sung G.

Titel

Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C^3

Ist Teil von

• Abstract and Applied Analysis, 2014, Vol.2014, p.1-7

Ort / Verlag

New York: Hindawi Limiteds

Erscheinungsjahr

2014

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Let Ω be a smoothly bounded pseudoconvex domain in C 3 and assume that z 0 ∈ b Ω is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve Γ ⊂ Ω ∪ { z 0 } , connecting points   q 0 ∈ Ω and z 0 ∈ b Ω , 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.