Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem |
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| Authors: | An Wang Heung-ju Ahn Jong-do Park |
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| Institution: | (1) Department of Mathematics, Capital Normal University, Beijing, 100048, China;(2) Department of Mathematical Sciences, Seoul National University, Seoul, 151-742, Korea;(3) School of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul, 130-722, Korea |
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| Abstract: | In this paper we construct circumscribed Hermitian ellipsoids of Hartogs domains of least volume and as an application, we
obtain the Carathéodory extremal mappings between the Hartogs domains and the unit ball, and also give an explicit formula
for calculating the extremal values.
This work was supported by National Natural Science Foundation of China (Grant No. 10771144), the Beijing Natural Science
Foundation (Grant No. 1082005) and the Korea Research Foundation Grant Funded by Korea Government (MOEHRD, Basic Research
Promotion Fund) (Grant No. KRF-2005-070-C00007) |
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| Keywords: | Hartogs domain minimal circumscribed Hermitian ellipsoid extremal problem |
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