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

Abstract and Applied Analysis, 2014, Vol.2014, p.1-7 [Peer Reviewed Journal]

Copyright © 2014 Sanghyun Cho and Young Hwan You. ;Copyright © 2014 Sanghyun Cho and Young Hwan You. Sanghyun Cho et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. ;ISSN: 1085-3375 ;EISSN: 1687-0409 ;DOI: 10.1155/2014/697160

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  • Title:
    Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C^3
  • Author: Cho, Sanghyun ; You, Young Hwan
  • Kim, Sung G.
  • Subjects: Estimates
  • Is Part Of: Abstract and Applied Analysis, 2014, Vol.2014, p.1-7
  • Description: 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.
  • Publisher: New York: Hindawi Limiteds
  • Language: English
  • Identifier: ISSN: 1085-3375
    EISSN: 1687-0409
    DOI: 10.1155/2014/697160
  • Source: Open Access: DOAJ Directory of Open Access Journals
    AUTh Library subscriptions: ProQuest Central
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