1 citations · 1 across the 3 of their papers we have counts for
4 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…
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…