Uniformizing Gromov Hyperbolic Spaces

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Uniformizing Gromov Hyperbolic Spaces

Author: Mario Bonk
language: en
Publisher: Societe Mathematique De France
Release Date: 2001
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs

Author: Alexander Grigor'yan
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-01-18
The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

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.