Moduli in Modern Mapping Theory

  • Olli Martio
  • Vladimir Ryazanov
  • Uri Srebro
  • Eduard Yakubov

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 1-6
  3. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 7-46
  4. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 47-79
  5. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 81-92
  6. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 93-102
  7. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 103-129
  8. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 131-144
  9. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 145-173
  10. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 175-191
  11. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 193-204
  12. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 205-235
  13. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 237-255
  14. Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
    Pages 257-289
  15. Back Matter
    Pages 291-367

About this book

Introduction

The purpose of this book is to present a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. The modulus method was initiated by Arne Beurling and Lars Ahlfors to study conformal mappings, and later this method was extended and enhanced by several others. The techniques are geometric and they have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs.

Keywords

bounded mean oscillation metric space quasiconformal mapping

Authors and affiliations

  • Olli Martio
    • 1
  • Vladimir Ryazanov
    • 2
  • Uri Srebro
    • 3
  • Eduard Yakubov
    • 4
  1. 1.University of HelsinkiHelsinkiFinland
  2. 2.Institute of Applied Mathematics and Mechanics of National Academy of Sciences of UkraineDonetskUkraine
  3. 3.Technion - Israel Institute of TechnologyHaifaIsrael
  4. 4.H.I.T. - Holon Institute of TechnologyHolonIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-85588-2
  • Copyright Information Springer New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-85586-8
  • Online ISBN 978-0-387-85588-2
  • Series Print ISSN 1439-7382
  • About this book