Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

Author:   Vesna Todorčević
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
ISBN:  

9783030225902


Pages:   163
Publication Date:   05 August 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics


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Overview

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.

Full Product Details

Author:   Vesna Todorčević
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Weight:   0.454kg
ISBN:  

9783030225902


ISBN 10:   3030225909
Pages:   163
Publication Date:   05 August 2019
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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. 

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