On the Behavior of One Class of Mappings Acting Upon Domains with Locally Quasiconformal Boundary
摘要
We study the mappings satisfying the so-called inverse Poletsky inequality. We consider mappings of the domains with quasiextreme distance, domains with locally quasiconformal boundary, and domains regular (in a sense of prime ends) onto the domains with locally quasiconformal boundary, regular domains, or domains that are locally Hölder equivalent to a half ball on their boundary. For these mappings, we prove their Hölder logarithmic continuity in a neighborhood of points of the boundary.