Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics. 1st ed. 2019

種類:

電子ブック

責任表示:

by Vesna Todorčević

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Todorčević, Vesna.
• SpringerLink (Online service)

ISBN:

9783030225919 [3030225917]    

注記:

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.

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