02784nam 22004575 450 991039272020332120200704150324.03-030-22591-710.1007/978-3-030-22591-9(CKB)4100000008743009(MiAaPQ)EBC5838916(DE-He213)978-3-030-22591-9(PPN)238492117(EXLCZ)99410000000874300920190724d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHarmonic Quasiconformal Mappings and Hyperbolic Type Metrics[electronic resource] /by Vesna Todorčević1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (xvii, 163 pages)3-030-22590-9 Introduction -- 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. .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.Functions of complex variablesPotential theory (Mathematics)Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Functions of complex variables.Potential theory (Mathematics).Functions of a Complex Variable.Potential Theory.515Todorčević Vesnaauthttp://id.loc.gov/vocabulary/relators/aut781341BOOK9910392720203321Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics1732493UNINA