NON-HYPERBOLIC UNBOUNDED REINHARDT DOMAINS: NON-COMPACT AUTOMORPHISM GROUP, CARTAN'S LINEARITY THEOREM AND EXPLICIT BERGMAN KERNEL

作者：Yamamori Atsushi^*

来源：Tohoku Mathematical Journal, 2017, 69(2): 239-260.

DOI：10.2748/tmj/1498269625

• Bergman kernel
• holomorphic automorphism group
• Reinhardt domain

In the study of the holomorphic automorphism groups, many researches have been carried out inside the category of bounded or hyperbolic domains. On the contrary to these cases, for unbounded non-hyperbolic cases, only a few results are known about the structure of the holomorphic automorphism groups. Main result of the present paper gives a class of unbounded non-hyperbolic Reinhardt domains with non-compact automorphism groups, Car tan's linearity theorem and explicit Bergman kernels. Moreover, a reformulation of Caftan's linearity theorem for finite volume Reinhardt domains is also given.

• 出版日期2017-6