Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain

Abstract

The authors give the condition that the Bergman kernel function on the first type of Cartan-Hartogs domain exists zeros. If the Bergman kernel function of this type of domain has zeros, the zero set is composed of several path-connected branches, and there exists a continuous curve to connect any two points in the non-zero set.

Keywords

Cartan-Hartogs domain / Zeros of Bergman kernel function / Path connectivity

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