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Distortion functions for plane quasiconformal mappings

โœ Scribed by G. D. Anderson; M. K. Vamanamurthy; M. Vuorinen

Book ID
112887400
Publisher
The Hebrew University Magnes Press
Year
1988
Tongue
English
Weight
540 KB
Volume
62
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES

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Several new inequalities are proved for the distortion function r appearing K in the quasiconformal Schwarz lemma. Other related special functions are studied and applications are given to quasiconformal maps in the plane. Some open problems are solved, too.

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For a planar domain โ€ with at least three boundary points and the โ€ hyperbolic metric of โ€ with constant curvature y1, G. J. Martin poses a problem that asks, if f is a K-quasiconformal self-homeomorphism of โ€ with boundary ลฝ ลฝ .. values given by the identity mapping, whether z, f z F log K holds fo