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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
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Kataloginformation
Feldname
Details
Dewey Class
515.9
Titel
Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics ([EBook] /) / by Vesna Todorčević.
Verfasser
Todorčević, Vesna
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Veröffentl
Cham : : Springer International Publishing : : Imprint: Springer, , 2019.
Physical Details
XVII, 163 p. 16 illus. : online resource.
ISBN
9783030225919
Summary Note
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.:
Contents note
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. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-22591-9
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Schlagwörter:
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Functions of a Complex Variable
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Functions of complex variables
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Potential Theory
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Potential theory (Mathematics)
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Authors:
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Todorčević, Vesna
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515.9
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515.9 (DDC 23)
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