TY - BOOK ID - 48089617 TI - Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics PY - 2019 SN - 3030225909 3030225917 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Geometric function theory. KW - Functions of complex variables. KW - Potential theory (Mathematics). KW - Functions of a Complex Variable. KW - Potential Theory. KW - Green's operators KW - Green's theorem KW - Potential functions (Mathematics) KW - Potential, Theory of KW - Mathematical analysis KW - Mechanics KW - Complex variables KW - Elliptic functions KW - Functions of real variables UR - https://www.unicat.be/uniCat?func=search&query=sysid:48089617 AB - The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar case. The book contains many concrete examples, as well as detailed proofs and explanations of motivations behind given results, gradually bringing the reader to the forefront of current research in the area. This monograph was written for a wide readership from graduate students of mathematical analysis to researchers working in this or related areas of mathematics who want to learn the tools or work on open problems listed in various parts of the book. ER -