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math.CV2023
Boundary behaviour of the Bergman and Szegő kernels on generalized decoupled domains
Ravi Shankar Jaiswal
We prove optimal estimates of the Bergman and Szegő kernels on the diagonal, and the Bergman metric near the boundary of bounded smooth generalized decoupled pseudoconvex domains i…
math.CV2023
Asymptotic behaviour of the Bergman kernel and metric
Ravi Shankar Jaiswal
We prove nontangential asymptotic limits of the Bergman kernel on the diagonal, and the Bergman metric and its holomorphic sectional curvature at exponentially flat infinite type b…