Web of Science: 10 cites, Scopus: 12 cites, Google Scholar: cites
Mappings of finite distortion: formation of cusps
Koskela, Pekka
Takkinen, Juhani

Data: 2007
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Publicat a: Publicacions matemàtiques, V. 51 n. 1 (2007) p. 223-242, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/218488
DOI: 10.5565/PUBLMAT_51107_10

20 p, 219.2 KB

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