Mappings of finite distortion: formation of cusps

All of RECERCAT

dc.contributor.author	Koskela, Pekka
dc.contributor.author	Takkinen, Juhani
dc.date	2007
dc.identifier	https://ddd.uab.cat/record/16625
dc.identifier	urn:10.5565/PUBLMAT_51107_10
dc.identifier	urn:oai:ddd.uab.cat:16625
dc.identifier	urn:oai:raco.cat:article/218488
dc.identifier	urn:scopus_id:34250795608
dc.identifier	urn:wos_id:000245007800010
dc.identifier	urn:articleid:20144350v51n1p223
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Publicacions matemàtiques ; V. 51 n. 1 (2007) p. 223-242
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.title	Mappings of finite distortion: formation of cusps
dc.type	Article
dc.description.abstract	In this paper we consider the extensions of quasiconformal mappings f : B → Ωs to the whole plane, when the domain Ωs is a domain with a cusp of degree s > 0 and thus not an quasidisc. While these mappings do not have quasiconformal extensions, they may have extensions that are homeomorphic mappings of finite distortion with an exponentially integrable distortion, but in such a case R 2B exp(λK(x)) dx = ∞ for all λ > 1/s. Conversely, for a given s > 0 such a mapping is constructed with R 2B exp(λK(x)) dx < ∞ for all λ < 1/s.