Bounds for Quasiconformal Distortion Functions
โ Scribed by S.L Qiu; M.K Vamanamurthy; M Vuorinen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 225 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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