Analytic capacity, the Cauchy transform, and non-homogeneous Calderon-Zygmund theory / Xavier Tolsa.

Format:

Book

Author/Creator:

Tolsa, Xavier, autor.

Series:

Progress in mathematics (Boston, Mass.) ; volume 307.

Progress in Mathematics 0743-1643 307

Language:

English

Subjects (All):

Analytic functions.

Cauchy transform.

Calderón-Zygmund operator.

Physical Description:

1 online resource (xiii, 396 pages) : illustrations.

Edition:

1st edition, 2014

Place of Publication:

Cham, Switzerland : Birkhauser, 2014.

Language Note:

English

Summary:

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.​

Contents:

1. Analytic capacity

2. Calderon-Zygmund theory with non-doubling measures

3. The Cauchy transform and Menger curvature

4. The capacity [symbol]

5. A Tb theorem of Nazarov, Treil and Volberg

6. The comparability between [symbol] and [symbol]

7. Curvature and rectifiability

8. Principal values for the Cauchy transform

9. RBMO([symbol]) and H[symbol].

Notes:

"ISSN: 0743-1643."

Incluye referencias bibliográficas e índice

ISBN:

9783319345444

9783319005966

3319005960

OCLC:

869833445