Quasiconformal extension of quasimöbius mappings of Jordan domains

Quasiconformal extension of quasimöbius mappings of Jordan domains Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2017, Volume: 58, Number: 3, Pages: 373-381 Pages count : 9 DOI: 10.1134/S0037446617030016

Tags

curve of bounded rotation; curve of bounded turning; quasiconformal extension; quasiconformal mapping; quasimöbius mapping; quasisymmetric mapping; Rickman criterion

Authors

Aseev V.V. ¹

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

We introduce the new class of Jordan arcs (curves) of bounded rotation which includes all arcs (curves) of bounded turning. We prove that if the boundary of a Jordan domain has bounded rotation everywhere but possibly one singular point then every quasimöbius embedding of this domain extends to a quasiconformal automorphism of the entire plane. © 2017, Pleiades Publishing, Ltd.

Aseev V.V.
Quasiconformal extension of quasimöbius mappings of Jordan domains
Siberian Mathematical Journal. 2017. V.58. N3. P.373-381. DOI: 10.1134/S0037446617030016 WOS Scopus OpenAlex

Web of science:	WOS:000404212100001
Scopus:	2-s2.0-85021300061
OpenAlex:	W2662646385

Пока нет цитирований