ENGLISH

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

By Takafumi Murai

Book information

Year
1988
ISBN
3540190910, 9783540190912
Language
english
Format
PDF
Filesize
4 MB (4166743 bytes)
Edition
1
Pages
211\140
Scanned
yes
Time added
2011-06-04 13:46:07
Математика;Прочие разделы математики

Description

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.

Similar books