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Analytic Capacity, the Cauchy Transform, and Non-Homogeneous Calderon-Zygmund Theory
Xavier Tolsa
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Description for Analytic Capacity, the Cauchy Transform, and Non-Homogeneous Calderon-Zygmund Theory
Paperback. This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability. It provides a unified approach to the material and simplified proofs. Series: Progress in Mathematics. Num Pages: 409 pages, 8 black & white illustrations, biography. BIC Classification: PBKD; PBKQ; PBWL. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 21. Weight in Grams: 629.
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 topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calderón-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlevé problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions ... Read more
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 topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calderón-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlevé problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
409
Condition
New
Series
Progress in Mathematics
Number of Pages
396
Place of Publication
Basel, Switzerland
ISBN
9783319345444
SKU
V9783319345444
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Xavier Tolsa
Xavier Tolsa is Research Professor of Mathematics from ICREA - Universitat Autònoma de Barcelona. He is the author of many research papers in connection with the topics discussed in this book. The present monograph was awarded the 2013 Ferran Sunyer i Balaguer Prize.
Reviews for Analytic Capacity, the Cauchy Transform, and Non-Homogeneous Calderon-Zygmund Theory
“This is a great book, I studied large portions of it with great benefit and pleasure. It covers a lot of material in this field … with illuminating views from different perspectives. … Most chapters could be read by students with a solid background in analysis, and certain parts of the book could serve as the basis for an advanced ... Read more