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| On Bounded Positive (m,p)-Circle Domains |
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Citation： |
Hongjun LI,Chunhui QIU,Yichao XU.On Bounded Positive (m,p)-Circle Domains[J].Chinese Annals of Mathematics B,2018,39(4):665~682 |
| Page view： 725
Net amount： 542 |
Authors： |
Hongjun LI; Chunhui QIU;Yichao XU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11571288, 11671330, 11771357). |
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| Abstract： |
Let $D$ be a bounded positive $(m,p)$-circle domain in $\BC^2$. 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 $\BC^2$. Moreover, the authors prove the Thullen's
classification on bounded Reinhardt domains in $\BC^2$ by the Lie
group technique. |
Keywords： |
$(m,p)$-Circular domain, Reinhardt domain, Holomorphically equivalent |
Classification： |
32A10 |
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