A real variable method for the Cauchy transform and analytic capacity

Resource Information

The work A real variable method for the Cauchy transform and analytic capacity represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

A real variable method for the Cauchy transform and analytic capacity

Statement of responsibility

Takafumi Murai

Creator

• Murai, Takafumi, 1948-

Subject

• Analytic functions
• Analytic functions
• Analytic functions
• Analytische Kapazität
• Cauchy transform
• Cauchy transform
• Cauchy transform
• Cauchy, Problème de
• Cauchy-Transformierte
• Geometric function theory
• Geometric function theory
• Geometric function theory
• Transformations (Mathématiques)
• Analyse fonctionnelle

Language

eng

Summary

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 Caldern 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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1307

Action

digitized

Cataloging source

SPLNM

Dewey number

• 510 s
• 515

Illustrations

illustrations

Index

index present

LC call number

• QA3
• QA360

LC item number

.L28 no. 1307

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1307