Weighted distortion in conformal mapping in Euclidean, hyperbolic and elliptic geometry.
Kraus, Daniela, Roth, Oliver (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Kraus, Daniela, Roth, Oliver (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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José L. Fernández (1987)
Extracta Mathematicae
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Deiermann, Paul (1993)
International Journal of Mathematics and Mathematical Sciences
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Stone, M. H.
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Martin Chuaqui, Peter Duren, Brad Osgood (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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A relatively simple proof is given for Haimo’s theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo’s criterion, which is now shown to be sharp. It is proved that Haimo’s functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
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.
Broch, Ole Jacob (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martin Chuaqui, Peter Duren, Brad Osgood (2011)
Annales UMCS, Mathematica
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A relatively simple proof is given for Haimo's theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo's criterion, which is now shown to be sharp. It is proved that Haimo's functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
Kari Hag (1999)
Banach Center Publications
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This paper should be considered as a companion report to F.W. Gehring’s survey lectures “Characterizations of quasidisks” given at this Summer School [7]. Notation, definitions and background results are given in that paper. In particular, D is a simply connected proper subdomain of unless otherwise stated and D* denotes the exterior of D in . Many of the characterizations of quasidisks have been motivated by looking at properties of euclidean disks. It is therefore natural to go...
Benchama, Noureddine, DeLillo, Thomas K. (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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