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math.CV2026
Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics
Ravi Shankar Jaiswal, Debaprasanna Kar
We establish a quantitative version of strong localization of the Kobayashi-Eisenman volume element and the quotient invariant near plurisubharmonic peak points of domains in $\mat…
math.CV2024
Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on (C-)convex domains
Debaprasanna Kar
We establish geometric upper and lower estimates for the Carathéodory and Kobayashi-Eisenman volume elements on the class of non-degenerate convex domains, as well as on the more g…
math.CV2023
Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains
Debaprasanna Kar
We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary asymptotics of the Kobayashi--Fuks me…