[PDF][PDF] Mappings with finite length distortion and Riemann surfaces

S Volkov, V Ryazanov - 2019 - imath.kiev.ua
The class of mappings with finite length distortion was introduced in [1] for Rn, n⩾ 2, see
also [2]. It was shown in [3] that such mappings, generally speaking, are not mappings with …

Mappings with finite length distortion and Riemann surfaces

VI Ryazanov, SV Volkov - Доповіді НАН України, 2020 - dspace.nbuv.gov.ua
We prove a series of criteria in terms of dilatations for the continuous and homeomorphic
extension of the map pings with finite length distortion between domains on Riemann …