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Tolsa, Xavier

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

Tolsa, Xavier - Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory, ebook

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ISBN: 9783319005966
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Table of contents

1. Introduction
Xavier Tolsa

2. Basic notation
Xavier Tolsa

3. Analytic capacity
Xavier Tolsa

4. Basic Calderón-Zygmund theory with non-doubling measures
Xavier Tolsa

5. The Cauchy transform and Menger curvature
Xavier Tolsa

6. The capacity ?+
Xavier Tolsa

7. A Tb theorem of Nazarov, Treil and Volberg
Xavier Tolsa

8. The comparability between ? and ?+, and the semiadditivity of analytic capacity
Xavier Tolsa

9. Curvature and rectifiability
Xavier Tolsa

10. Principal values for the Cauchy transform and rectifiability
Xavier Tolsa

11.
RBMO (?) and




{H}_{atb}^{1}(mu)



Xavier Tolsa

Keywords: Mathematics, Functions of a Complex Variable, Potential Theory, Calculus of Variations and Optimal Control, Optimization

Author(s)
Publisher
Springer
Publication year
2014
Language
en
Edition
2014
Series
Progress in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319005966

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