N. Shcherbina

activity

20032026

most citedOn defining functions for unbounded pseudoconvex domains

13 citations · 19 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CV2019

Unbounded Kobayashi hyperbolic domains in $C^{n}$

Hervé Gaussier, Nikolay Shcherbina

We first give a sufficient condition, issued from pluripotential theory, for an unbounded domain in the complex Euclidean space $C^{n}$ to be Kobayashi hyperbolic. Then, we c…

math.CV2019

On the existence of Kobayashi and Bergman metrics for Model domains

Nikolay Shcherbina

We prove that for a pseudoconvex domain of the form $A = {(z, w) \in C^{2} : v > F (z, u)}$ , where $w = u + i v$ and F is a continuous function on ${\mathbb C}_z \…

Unbounded Kobayashi hyperbolic domains in Cn

On the existence of Kobayashi and Bergman metrics for Model domains

Unbounded Kobayashi hyperbolic domains in $C^{n}$