LEADER 02784nam 22004575 450 001 9910392720203321 005 20200704150324.0 010 $a3-030-22591-7 024 7 $a10.1007/978-3-030-22591-9 035 $a(CKB)4100000008743009 035 $a(MiAaPQ)EBC5838916 035 $a(DE-He213)978-3-030-22591-9 035 $a(PPN)238492117 035 $a(EXLCZ)994100000008743009 100 $a20190724d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHarmonic Quasiconformal Mappings and Hyperbolic Type Metrics$b[electronic resource] /$fby Vesna Todor?evi? 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (xvii, 163 pages) 311 $a3-030-22590-9 327 $aIntroduction -- Quasiconformal and quasiregular harmonic mappings -- Hyperbolic type metrics -- Distance Ratio Metric -- Bi-Lipschitz property of HQC mappings -- Quasi-nearly subharmonic functions and QC mappings -- Possible research directions. . 330 $aThe 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. 606 $aFunctions of complex variables 606 $aPotential theory (Mathematics) 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 615 0$aFunctions of complex variables. 615 0$aPotential theory (Mathematics). 615 14$aFunctions of a Complex Variable. 615 24$aPotential Theory. 676 $a515 700 $aTodor?evi?$b Vesna$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781341 906 $aBOOK 912 $a9910392720203321 996 $aHarmonic Quasiconformal Mappings and Hyperbolic Type Metrics$91732493 997 $aUNINA