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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

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  • © 2019

Overview

  • Covers harmonic quasiconformal mappings and hyperbolic type metrics in the plane and in the space

  • Includes an extensive bibliography of the field

  • Self contained presentation of a currently active research area in Geometric Function

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Table of contents (7 chapters)

Keywords

About this book

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.


Authors and Affiliations

  • Faculty of Organizational Sciences, Mathematical Institute, University of Belgrade, Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Vesna Todorčević

Bibliographic Information

  • Book Title: Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

  • Authors: Vesna Todorčević

  • DOI: https://doi.org/10.1007/978-3-030-22591-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-22590-2Published: 05 August 2019

  • Softcover ISBN: 978-3-030-22593-3Published: 15 August 2020

  • eBook ISBN: 978-3-030-22591-9Published: 24 July 2019

  • Edition Number: 1

  • Number of Pages: XVII, 163

  • Number of Illustrations: 16 b/w illustrations

  • Topics: Functions of a Complex Variable, Potential Theory

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