Home > Search Results: Takkinen, Juhani
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Articles, 2 records found
Articles 2 records found  
1.
20 p, 396.0 KB Generalized quasidisks and conformality / Guo, Chang-Yu ; Koskela, Pekka ; Takkinen, Juhani
We introduce a weaker variant of the concept of linear local connectivity, sufficient to guarantee the extendability of a conformal map f : D → Ω to the entire plane as a homeomorphism of locally exponentially integrable distortion. [...]
2014 - 10.5565/PUBLMAT_58114_09
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 193-212  
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2.
20 p, 219.2 KB Mappings of finite distortion: formation of cusps / Koskela, Pekka ; Takkinen, Juhani
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. [...]
2007 - 10.5565/PUBLMAT_51107_10
Publicacions matemàtiques, V. 51 n. 1 (2007) p. 223-242  
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