31 citations · 78 across the 39 of their papers we have counts for
40 papers
On left inverses in the Lempert theorem
Włodzimierz Zwonek
In the paper we discuss the problem of existence, uniqueness and extension through the boundary of left inverses to complex geodesics in Lempert domains. We concentrate on special…
Burns-Krantz rigidity in non-smooth domains
Włodzimierz Zwonek
Motivated by recent papers \cite{For-Rong 2021} and \cite{Ng-Rong 2024} we prove a boundary Schwarz lemma (Burns-Krantz rigidity type theorem) for non-smooth boundary points of the…
Isometries in the diamond
Anand Chavan, Włodzimierz Zwonek
We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as . Additionally, we discuss the p…
Extension property in the tridisc
Lukasz Kosinski, Wlodzimierz Zwonek
Motivated by works on extension sets in standard domains we introduce a notion of the Carathéodory set that seems better suited for the methods used in proofs of results on charact…
Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck
Wlodzimierz Zwonek, Zbigniew Blocki
We generalize the inequality being a counterpart of the several complex variables version of the Suita conjecture. For this aim higher order generalizations of the Bergman kernel a…
Function theoretic properties of symmetric powers of complex manifolds
Włodzimierz Zwonek
In the paper we study properties of symmetric powers of complex manifolds. We investigate a number of function theoretic properties (e. g. (quasi) -finite compactness, existence…