On Bounded Positive (m,p)-Circle Domains |
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| Authors: | Hongjun LI Chunhui QIU and Yichao XU |
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| Institution: | 1.School of Mathematics and Statistics,Henan University,Kaifeng,China;2.School of Mathematical Sciences,Xiamen University,Xiamen,China;3.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China |
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| Abstract: | Let D be a bounded positive (m, p)-circle domain in ?2. The authors prove that if dim(Iso(D)0) = 2, then D is holomorphically equivalent to a Reinhardt domain; if dim(Iso(D)0) = 4, then D is holomorphically equivalent to the unit ball in ?2. Moreover, the authors prove the Thullen’s classification on bounded Reinhardt domains in ?2 by the Lie group technique. |
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| Keywords: | $(m p)$-Circular domain Reinhardt domain Holomorphically equivalent |
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