Skip to main content
  • Book
  • © 1988

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

Authors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1307)

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (3 chapters)

  1. Front Matter

    Pages I-VII
  2. Analytic capacities of cranks

    • Takafumi Murai
    Pages 71-116
  3. Back Matter

    Pages 117-133

About this book

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.

Keywords

  • DEX
  • Lemma
  • Singular integral
  • dynamics
  • form
  • function
  • graphs
  • integral
  • knowledge
  • object
  • proof
  • review
  • variable

Bibliographic Information

  • Book Title: A Real Variable Method for the Cauchy Transform, and Analytic Capacity

  • Authors: Takafumi Murai

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078078

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19091-2Published: 27 April 1988

  • eBook ISBN: 978-3-540-39105-0Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 134

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions