# The boundary behavior of homeomorphisms of the class Wloc1,1 on a plane by prime ends

 1Petkov, IV1Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Sloviansk Dopov. Nac. akad. nauk Ukr. 2015, 6:19-23 https://doi.org/10.15407/dopovidi2015.06.019 Section: Mathematics Language: Russian Abstract:  The boundary behavior of the so-called regular mappings that are a natural generalization of quasiconformal mappings is studied. A number of effective conditions on the dilatation coefficient $K_{f}$ for a homeomorphic extension of these mappings by prime ends in finitely connected bounded domains are found. Keywords: boundary behavior, finitely connected domains, prime ends, regular mappings
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