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  • Book
  • © 1996

Potential Theory - Selected Topics

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1633)

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Table of contents (2 chapters)

  1. Front Matter

    Pages i-ix
  2. Potential theory part I

    • Matts Essén
    Pages 2-100
  3. Potential theory part II

    • Hiroaki Aikawa
    Pages 102-200
  4. Back Matter

    Pages 201-202

About this book

The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis.

Keywords

  • Potential theory
  • Singular integral
  • boundary behavior
  • capacity
  • harmonic analysis
  • minimal thinness
  • sub- or superharmonic functions

Bibliographic Information

  • Book Title: Potential Theory - Selected Topics

  • Authors: Hiroaki Aikawwa, Matts Essén

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093410

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61583-5Published: 13 September 1996

  • eBook ISBN: 978-3-540-69991-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 202

  • Topics: Real Functions, Functions of a Complex Variable, Potential Theory

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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