Plurisubharmonicity of Bergman Kernels on generalized annuli

Yanyan Wang

Let $A_{\zeta }=\Omega -\overline{\rho (\zeta )\cdot \Omega }$ be a family of generalized annuli over a domain $U$. We show that the logarithm $\log K_{\zeta }(z)$ of the Bergman kernel $K_{\zeta }(z)$ of $A_{\zeta }$ is plurisubh…