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

Takafumi Murai

ISBN 10: 3540190910 / ISBN 13: 9783540190912

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1988, 1988

About this Item

Neuware -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. 144 pp. Englisch.

Seller Inventory # 9783540190912

Bibliographic Details

• Title: A Real Variable Method for the Cauchy Transform, and Analytic Capacity
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1988
• Publication Date: 1988
• Language: English
• ISBN 10: 3540190910
• ISBN 13: 9783540190912
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.