Analytic capacity, rectifiability, menger curvature and cauchy integral /
Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1799. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Notations and conventions
- Some geometric measures theory
- Jones' traveling salesman theorem
- Menger curvature
- The Cauchy singular integral operator on Ahlfors-regular sets
- Analytic capacity and the Painlev Problem
- The Denjoy and Vitushkin conjectures
- The capacity $gamma (+)$ and the Painlev Problem
- Bibliography
- Index.