Authors:
- A large part of the material, such as the proof of the semiadditivity of analytic capacity, is accessible in book form for the first time
- The book provides a unified approach to the material and simplified proofs Many results have important applications to several areas in analysis
- The book is largely self contained and accessible to graduate students
- The author is a well known leading expert in the area
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 307)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“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 student seminar on, say, graduate level. … this outstanding book belongs in every mathematical library.” (Heiko von der Mosel, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 117, 2015)
“This book consists of nine chapters. Each chapter contains a very readable exposition of key results on a given area, and is followed by historical notes with references, including a discussion of further results. … It covers a large amount of mathematics and is certainly both a valuable literature for further research and an excellent textbook for graduate students who want to study in directions of geometric measure theory and harmonic analysis.” (Dachun Yang, zbMATH, Vol. 1290, 2014)
Authors and Affiliations
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Departamento de Matemàtiques, Universitat Autónoma de Barcelona ICREA, Bellaterra (Cerdanyola), Spain
Xavier Tolsa
About the author
Bibliographic Information
Book Title: Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory
Authors: Xavier Tolsa
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-319-00596-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-00595-9Published: 07 January 2014
Softcover ISBN: 978-3-319-34544-4Published: 23 August 2016
eBook ISBN: 978-3-319-00596-6Published: 16 December 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIII, 396
Number of Illustrations: 8 b/w illustrations
Topics: Functions of a Complex Variable, Potential Theory, Calculus of Variations and Optimal Control; Optimization