Konstantin Yu. Fedorovskiy
Bauman Moscow State Technical University
Date(s) : 03/12/2018 iCal
10 h 00 min - 11 h 00 min
In the talk it is planned to consider the problem on Lipm-continuity of operators of harmonic reflection of functions across boundaries of simple Carathéodory domains in n. We present several new necessary and sufficient Lipm-continuity conditions for such operators. These results are based on the new criterion of Lipm-continuity for Poisson operator in simple Carathéodory domains; which also will be presented and discussed. As a corollaries it will be establish some results of a metric nature about reflection and approximation of harmonic functions. The talk is based on the joint work with Petr Paramonov (Lomonosov Moscow State University).