On Bounded Positive (m, p)-Circle Domains
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Let D be a bounded positive (m, p)-circle domain in ℂ2. 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 ℂ2. Moreover, the authors prove the Thullen’s classification on bounded Reinhardt domains in ℂ2 by the Lie group technique.
Keywords(m, p)-Circular domain Reinhardt domain Holomorphically equivalent
2000 MR Subject Classification32A10
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