Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

  • Vesna Todorčević

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Vesna Todorčević
    Pages 1-4
  3. Vesna Todorčević
    Pages 57-83
  4. Vesna Todorčević
    Pages 85-110
  5. Vesna Todorčević
    Pages 111-129
  6. Vesna Todorčević
    Pages 131-146
  7. Vesna Todorčević
    Pages 147-152
  8. Back Matter
    Pages 153-163

About this book


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.


quasiconformal mappings harmonic quasiconformal mappings moduli of continuity hyperbolic type metrics distance ratio metric quasihyperbolic metric bi-Lipschitz property quasi-nearly subharmonic functions

Authors and affiliations

  • Vesna Todorčević
    • 1
  1. 1.Faculty of Organizational Sciences, Mathematical InstituteUniversity of Belgrade, Serbian Academy of Sciences and ArtsBelgradeSerbia

Bibliographic information