### Generalized John disks

Chang-Yu Guo, Pekka Koskela (2014)

Open Mathematics

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We establish the basic properties of the class of generalized simply connected John domains.

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Chang-Yu Guo, Pekka Koskela (2014)

Open Mathematics

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We establish the basic properties of the class of generalized simply connected John domains.

Michael O'Neill (1999)

Colloquium Mathematicae

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Hakobyan, Hrant, Herron, David A. (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Hag, Kari, Hag, Per (2001)

Annales Academiae Scientiarum Fennicae. Mathematica

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Frederick Gehring (1999)

Banach Center Publications

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Walter L. Baily Jr. (2001)

Revista Matemática Iberoamericana

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In this brief note we give a proof that a certain family of Fano 4-folds, described below, is complex (locally) complete and effectively parametrized in the sense of Kodaira-Spencer [Ko-Sp].

Steffen Rohde (2001)

Revista Matemática Iberoamericana

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We give an explicit construction of all quasicircles, modulo bilipschitz maps. More precisely, we construct a class of planar Jordan curves, using a process similar to the construction of the van Koch snowflake curve. These snowflake-like curves are easily seen to be quasicircles. We prove that for every quasicircle Γ there is a bilipschitz homeomorphism f of the plane and a snowflake-like curve S ∈ with Γ = f(). In the same fashion we obtain a construction of all bilipschitz-homogeneous...

L. A. Caffarelli, N. M. Rivière (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Gevirtz, Julian (2003)

International Journal of Mathematics and Mathematical Sciences

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Juha Heinonen (1996)

Revista Matemática Iberoamericana

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In this paper a quite complete picture is given of the absolute continuity on the boundary of a quasiconformal map B → D, where B is the unit 3-ball and D is a Jordan domain in R with boundary 2-rectifiable in the sense of geometric measure theory. Moreover, examples are constructed, for each n ≥ 3, showing that quasiconformal maps from the unit n-ball onto Jordan domains with boundary (n - 1)-rectifiable need not have absolutely continuous boundary values.