On the behavior of one class of mappings acting upon domains with locally quasiconformal boundary
Abstract
UDC 517.5
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.
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