ENGLISH

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

By Takafumi Murai (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
ISBN
9780387190914, 0387190910
DOI
10.1007/BFb0078078
LCC
QA3 .L28 no. 1307,QA360 .L28 no. 1307
Open Library ID
OL2107222M
Language
english
Format
DJVU
Filesize
2 MB (1613861 bytes)
Series
Lecture Notes in Mathematics 1307
Edition
1
Pages
134\140
Time added
2014-10-05 02:30:00
Analysis; Mathematical and Computational Physics

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.

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