Имя: Miljan Knezevic
Название: SOME REMARKS TO THE CLASS OF HARMONIC QUASICONFORMAL MAPPINGS AND APPLICATIONS
Город, страна: Belgrad, Serbia
We give a new idea how to consider some important properties of
the hyperbolic metric to obtain results of the Schwarz-Pick type for the class of
HQC mappings. By using some estimates for hyperbolic partial derivatives for
HQC mappings, that act between various domains, we discus the hyperbolic bi-
Lipschicity of those mappings.
Key words: Quasiconformal mapping, Harmonic mapping, Riemann surface,
Universal covering, Conformal metric, Gaussian curvature, Hyperbolic density,
Hyperbolic length, Hyperbolic distance, Hyperbolic derivative, Quadratic diffe-
rential, Quasi-isometry, Lipschitz i co-Lipschitz mapping.