Potential Theory—Selected Topics

  • Authors
  • Hiroaki Aikawwa
  • Matts Essén

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Matts Essén
    Pages 2-100
  3. Hiroaki Aikawa
    Pages 102-200
  4. Back Matter
    Pages 201-202

About this book

Introduction

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

  • DOI https://doi.org/10.1007/BFb0093410
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61583-5
  • Online ISBN 978-3-540-69991-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book