Lecture Notes in Mathematics

Aikawa, Hiroaki; Essen, Matts

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.

Details

Published by: Springer

Publication Date: 1996-09-13

Format: Paperback

ISBN-13: 9783540615835

DOI: 10.1007/BFb0093410

Dimensions: 235cm x155cm

Pages: 202