Nikolai Nikolov

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20232026

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math.CV2025

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points

Nikolai Nikolov, Pascal J. Thomas

It is shown that the optimal upper and lower bounds for the Kobayashi distance near $C^{2, α}$ -smooth strongly pseudoconvex boundary points obtained in L. Kosinski, N. Niko…

math.CV2023

Explicit universal bounds for squeezing functions of ( $C$ -)convex domains

Gautam Bharali, Nikolai Nikolov

We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate $C$ -convex (but not necessarily convex) domains -- for the squee…

Optimal bounds for the Kobayashi distance near C2-smooth boundary points

Explicit universal bounds for squeezing functions of (C-)convex domains

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points

Explicit universal bounds for squeezing functions of ( $C$ -)convex domains