Lecture Details
Name: Marta Kosek (Jagiellonian University)Speaking: Wed 8th May 12:00 - 12:25Title: On some subsets of the space of regular compact setsAbstract: We consider the complete metric space of polynomially convex regular compact sets in $\mathbb{C}^N$, where the metric is defined by means of the Green functions of these sets (the Klimek metric). It is interesting to consider the family of sets with Hölder continuous Green functions or the family of sets for which the Green functions satisfy so called Łojasiewicz-Siciak condition. We will show that these families are not closed with respect to the Klimek metric.
Reference:
Maciej Klimek, Marta Kosek On the metric space of pluriregular sets, DOLOMITES RESEARCH NOTES ON APPROXIMATION vol. 11 (2018), 51-61