Boundary Behaviour of Conformal Maps

Boundary Behaviour of Conformal Maps / by Christian Pommerenke.

There has been a great deal of recent interest in the boundary behaviour of conformal maps of the unit disk onto plane domains. In classical applications of conformal maps, the boundary tended to be smooth. This is not the case in many modern applications (e.g. for Julia sets). The first chapters pr...

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Bibliographic Details
Main Author: Pommerenke, Christian
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1992.
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 299.
Subjects:
Mathematics.
Functions of complex variables.
Matemáticas
Funciones de variables complejas
Functions of complex variables
Mathematics
Online Access:Click for online access
Table of Contents:
  • 1. Some Basic Facts
  • 2. Continuity and Prime Ends
  • 3. Smoothness and Corners
  • 4. Distortion
  • 5. Quasidisks
  • 6. Linear Measure
  • 7. Smirnov and Lavrentiev Domains
  • 8. Integral Means
  • 9. Curve Families and Capacity
  • 10. Hausdorff Measure
  • 11. Local Boundary Behaviour
  • References
  • Author Index.

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