The boundary behavior of homeomorphisms of the class Wloc1,1 on a plane by prime ends
DOI:
https://doi.org/10.15407/dopovidi2015.06.019Keywords:
boundary behavior, finitely connected domains, prime ends, regular mappingsAbstract
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 Kf for a homeomorphic extension of these mappings by prime ends in finitely connected bounded domains are found.
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