Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
Authors: Todorčević, Vesna
Free Preview- 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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- About this book
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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.
- Table of contents (7 chapters)
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Introduction
Pages 1-4
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Quasiconformal and Quasiregular Harmonic Mappings
Pages 5-56
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Hyperbolic Type Metrics
Pages 57-83
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Distance Ratio Metric
Pages 85-110
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Bi-Lipschitz Property of HQC Mappings
Pages 111-129
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
- Authors
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- Vesna Todorčević
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-22591-9
- DOI
- 10.1007/978-3-030-22591-9
- Hardcover ISBN
- 978-3-030-22590-2
- Softcover ISBN
- 978-3-030-22593-3
- Edition Number
- 1
- Number of Pages
- XVII, 163
- Number of Illustrations
- 16 b/w illustrations
- Topics
