2 citations · 4 across the 5 of their papers we have counts for
7 papers
Families of exposing maps in strictly pseudoconvex domains
Arkadiusz Lewandowski
We prove that given a family of strictly pseudoconvex domains varying in C2 topology on domains, there exists a continuously varying family of exposing maps for all boundary points…
Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains
Arkadiusz Lewandowski
We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable…
Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains
Arkadiusz Lewandowski
We give a parameter version of Graham-Kerzman approximation theorem for bounded holomorphic functions on strictly pseudoconvex domains. As an application, we present some uniform e…
Families of strictly pseudoconvex domains and peak functions
Arkadiusz Lewandowski
We prove that given a family of strictly pseudoconvex domains varying in topology on domains, there exists a continuously varying family of peak functions $…
On behaviour of holomorphically contractible systems under non-monotonic sequences of sets
Arkadiusz Lewandowski
The new results concerning the continuity of holomorphically contractible systems treated as set functions with respect to non-monotonic sequences of sets are given. In particular,…
A new Hartogs type extension results for the cross-like objects
Arkadiusz Lewandowski
We discuss the problem of the existence of envelopes of holomorphy of the A-crosses, which leads us to the far-reaching generalizations of the famous Hartogs theorem. We also take…
A remark on the relative extremal function
Arkadiusz Lewandowski
The main result of this paper is some "annulus" formula for the relative extremal function in the context of Stein spaces (Theorem 1.1). Our result may be useful in the theory of t…