Boundary Behaviour of Conformal Maps [electronic resource] / 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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Full Text (via Springer) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1992.
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| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ;
299. |
| Subjects: |
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.