Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3
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, Caratheo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/697160 |
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| _version_ | 1832558091459100672 |
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| author | Sanghyun Cho Young Hwan You |
| author_facet | Sanghyun Cho Young Hwan You |
| author_sort | Sanghyun Cho |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-44e2ecd3852f4542a21b7979d5732983 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-44e2ecd3852f4542a21b7979d57329832025-02-03T01:33:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/697160697160Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3Sanghyun Cho0Young Hwan You1Department of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaDepartment of Mathematics, Indiana University East, Richmond, IN 47374, USALet 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.http://dx.doi.org/10.1155/2014/697160 |
| spellingShingle | Sanghyun Cho Young Hwan You Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 Abstract and Applied Analysis |
| title | Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 |
| title_full | Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 |
| title_fullStr | Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 |
| title_full_unstemmed | Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 |
| title_short | Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3 |
| title_sort | estimates of invariant metrics on pseudoconvex domains of finite type in c3 |
| url | http://dx.doi.org/10.1155/2014/697160 |
| work_keys_str_mv | AT sanghyuncho estimatesofinvariantmetricsonpseudoconvexdomainsoffinitetypeinc3 AT younghwanyou estimatesofinvariantmetricsonpseudoconvexdomainsoffinitetypeinc3 |