A Real Variable Method for the Cauchy Transform, and Analytic Capacity

A Real Variable Method for the Cauchy Transform, and Analytic Capacity
Author :
Publisher : Springer
Total Pages : 141
Release :
ISBN-10 : 9783540391050
ISBN-13 : 3540391053
Rating : 4/5 (053 Downloads)

Book Synopsis A Real Variable Method for the Cauchy Transform, and Analytic Capacity by : Takafumi Murai

Download or read book A Real Variable Method for the Cauchy Transform, and Analytic Capacity written by Takafumi Murai and published by Springer. This book was released on 2006-11-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.


A Real Variable Method for the Cauchy Transform, and Analytic Capacity Related Books

A Real Variable Method for the Cauchy Transform, and Analytic Capacity
Language: en
Pages: 141
Authors: Takafumi Murai
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

GET EBOOK

This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into
A Real Variable Method for the Cauchy Transform and Analytic Capacity
Language: en
Pages: 150
Authors: Takafumi Murai
Categories: Mathematics
Type: BOOK - Published: 1988 - Publisher: Springer

GET EBOOK

This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into
Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory
Language: en
Pages: 402
Authors: Xavier Tolsa
Categories: Mathematics
Type: BOOK - Published: 2013-12-16 - Publisher: Springer Science & Business Media

GET EBOOK

This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995�
A Real Variable Method for the Cauchy Transform and Applications to Analytic Capacity
Language: en
Pages: 152
Authors: Takafumi Murai
Categories: Analytic functions
Type: BOOK - Published: 1987 - Publisher:

GET EBOOK

Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral
Language: en
Pages: 133
Authors: Hervé M. Pajot
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: Springer

GET EBOOK

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiab