Estimates on the Bergman kernels in a tangential direction on pseudoconvex domains in \(\mathbb{C}^3\) (Q1728531)

Summary: Let \(\Omega\) be a smoothly bounded pseudoconvex domain in \(\mathbb{C}^3\) and assume that \(T_{\Omega}^{r e g}(z_0) < \infty\) where \(z_0 \in b \Omega\), the boundary of \(\Omega\). Then we get optimal estimates of the Bergman kernel function along some ``almost tangential curve'' \(C_b(z_0, \delta_0) \subset \Omega \cup \left\{z_0\right\}\).