The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in $\mathbb C^2$
The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in $\mathbb C^2$
In this paper, we consider bounded strictly pseudoconvex domains D\subset \mathbb C^2 with smooth boundary M=M^3:=\partial D , and the asymptotic expansion of the Bergman kernel on the diagonal K_B\sim \frac{\phi_{B}}{\rho^{n+1}}+\psi_B\log\rho, where \rho>0 is a Fefferman defining equation for D . The Ramadanov Conjecture states that if the log term …