On Bounded Positive(m,p)-Circle Domains

Let D be a bounded positive （m, p）-circle domain in Cu. 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 C^2. Moreover, the authors prove the Thullen＇s classification on bounded Reinhaxdt domains in C^2 by the Lie group technique.