arXiv subjects

Lyubomir Andreev

Publications and source records attributed to Lyubomir Andreev.

3 recordsLinked to original sources

arXiv2017

Boundary behavior of the squeezing functions of $\mathbb C$-convex domains and plane domains

It is shown that any non-degenerate $\mathbb C$-convex domain in $\mathbb C^n$ is uniformly squeezing. It is also found the precise behavior of the squeezing function near a Dini-smooth boundary point of a plane domain.

math.CV↗

arXiv2015

Boundary behavior of invariant functions on planar domains

Precise behavior of the Caratheodory, Kobayashi and Bergman metrics and distances near smooth boundary points of domains in C is found under different assumptions of regularity.

math.CV↗

arXiv2015

Estimates of the Kobayashi and quasi-hyperbolic distances

Universal upper bounds for the Kobayashi and quasi-hyperbolic distances near Dini-smooth boundary points of domains in $\C^n$ and $\R^n,$ respectively, are obtained.

math.CV↗