13 citations · 16 across the 8 of their papers we have counts for
10 papers
Reinhardt domains determined by their endomorphisms
Rafael B. Andrist, Włodzimierz Zwonek
We show that pseudoconvex Reinhardt domains in dimension two with isomorphic semigroups of holomorphic endomorphisms are biholomorphically or anti-biholomorphically equivalent. Mor…
Holomorphic retracts in the Lie ball and the tetrablock
Gargi Ghosh, Włodzimierz Zwonek
In this article, we study various properties of holomorphic retracts in Lempert domains. We associate the existence and the related form of holomorphic retracts with the linear one…
Holomorphic maps acting as Kobayashi isometries on a family of geodesics
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
Consider a holomorphic map between two domains in . Let denote a family of geodesics for the Kobayashi distance, such that acts as an i…
-proper holomorphic images of classical Cartan domains
Gargi Ghosh, Włodzimierz Zwonek
Motivated by the way two special domains, namely the symmetrized bidisc and the tetrablock, could be defined as the images of -proper holomorphic images of classical Cartan doma…
Complex geodesics in tube domains and their role in the study of harmonic mappings in the disc
Wlodzimierz Zwonek
We continue the research on the structure of complex geodesics in tube domains over (bounded) convex bases. In some special cases a more explicit form of the geodesics than the exi…
Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
In this paper we study the following "slice rigidity property": given two Kobayashi complete hyperbolic manifolds and a collection of complex geodesics of ,…
Nevanlinna-Pick interpolation problem in the ball
Łukasz Kosiński, Włodzimierz Zwonek
We solve a three point Nevanlinna-Pick problem in the Euclidean ball. In particular, we determine a class of rational functions that interpolate this problem.
Extremal holomorphic maps in special classes of domains
Łukasz Kosiński, Włodzimierz Zwonek
In the paper we discuss three different notions of extremal holomorphic mappings: weak -extremals, -extremals and -complex geodesics. We discuss relations between them in…
Geometric properties of semitube domains
Łukasz Kosiński, Tomasz Warszawski, Włodzimierz Zwonek
In the paper we study the geometry of semitube domains in . In particular, we extend the result of Burgués and Dwilewicz for semitube domains dropping out the smoothne…
Schwarz Lemma for the tetrablock
A. Edigarian, W. Zwonek
We describe all complex geodesics in the tetrablock passing through the origin thus obtaining the form of all extremals in the Schwarz Lemma for the tetrablock. Some other extremal…