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The Carathéodory metric
and holomorphic maps on a class of weakly pseudoconvex
domains
R. Michael Range |
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Vol. 78 (1978), No. 1, 173–189
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Abstract |
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The boundary behavior of proper holomorphic maps between two smoothly bounded pseudoconvex domains in Cn is studied by means of the Carathéodory metric. The Hölder continuity of such maps is proved in case the image domain satisfies some technical conditions; these are satisfied, for example, by strictly pseudoconvex domains and convex domains with real analytic boundary. |
Mathematical Subject Classification
Primary: 32F15
Secondary: 32H15
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Milestones
Received: 29 September 1977
Published: 1 September 1978
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Authors |
| R. Michael Range | |
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