Analytic Capacity, the Cauchy Transform, and Non-Homogeneous Calderón-Zygmund Theory

By Xavier Tolsa

Book Overview

Introduction.- Basic notation.- Chapter 1. Analytic capacity.- Chapter 2. Basic Calder?n-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.​

• Format: Paperback
• Language: English
• ISBN: 3319345443
• ISBN13: 9783319345444
• Release Date: August 2016
• Publisher: Birkhauser
• Length: 396 Pages
• Weight: 1.27 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"