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Harmonic quasiconformal mappings and...
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Harmonic quasiconformal mappings and hyperbolic type metrics
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Harmonic quasiconformal mappings and hyperbolic type metrics/ by Vesna Todorcevic.
作者:
Todorcevic, Vesna.
出版者:
Cham :Springer International Publishing : : 2019.,
面頁冊數:
xvii, 163 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
標題:
Geometric function theory. -
電子資源:
https://doi.org/10.1007/978-3-030-22591-9
ISBN:
9783030225919
Harmonic quasiconformal mappings and hyperbolic type metrics
Todorcevic, Vesna.
Harmonic quasiconformal mappings and hyperbolic type metrics
[electronic resource] /by Vesna Todorcevic. - Cham :Springer International Publishing :2019. - xvii, 163 p. :ill., digital ;24 cm.
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.
ISBN: 9783030225919
Standard No.: 10.1007/978-3-030-22591-9doiSubjects--Topical Terms:
788114
Geometric function theory.
LC Class. No.: QA360 / .T636 2019
Dewey Class. No.: 515.9
Harmonic quasiconformal mappings and hyperbolic type metrics
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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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