Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory
This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995–2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topi...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2014, 2014
|
| Edition: | 1st ed. 2014 |
| Series: | Progress in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Basic notation
- Chapter 1. Analytic capacity
- Chapter 2. Basic Calderón-Zygmund theory with non doubling measures
- Chapter 3. The Cauchy transform and Menger curvature
- Chapter 4. The capacity γ+
- Chapter 5. A Tb theorem of Nazarov, Treil and Volberg
- Chapter 6. The comparability between γ and γ +, and the semiadditivity of analytic capacity
- Chapter 7. Curvature and rectifiability
- Chapter 8. Principal values for the Cauchy transform and rectifiability
- Chapter 9. RBMO(μ) and H1 atb(μ)
- Bibliography
- Index