10 citations · 100 across the 53 of their papers we have counts for
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Sharp Invertibility in Quotient Algebras of
Alexander Borichev, Artur Nicolau, Myriam Ounaïes +1
We consider inner functions with the zero set such that the quotient algebra satisfies the Strong Invertibility Property (SIP), that is f…
A Gehring-Hayman inequality for strongly pseudoconvex domains
Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas
We prove that in a strongly pseudoconvex domain with smooth boundary, then the length of a geodesic for the Kobayashi-Royden infinitesimal metric between two points is bounded by a…
Local and global notions of visibility with respect to Kobayashi distance, a comparison
Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas
In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain…
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance
Filippo Bracci, Hervé Gaussier, Nikolai Nikolov +1
We introduce the notion of locally visible and locally Gromov hyperbolic domains in . We prove that a bounded domain in is locally visible and locally Gr…
Quantitative localization and comparison of invariant distances of domains in
Nikolai Nikolov, Pascal J. Thomas
We obtain explicit bounds on the difference and ratio between "local" and "global" Kobayashi distances in a domain of as the points go toward a boundary point with ap…
Visibility of Kobayashi geodesics in convex domains and related properties
Filippo Bracci, Nikolai Nikolov, Pascal J. Thomas
Let be a bounded domain. A pair of distinct boundary points of has the visibility property provided there exist a compact subset $K_{p,q}\subse…