Potential Theory—Selected Topics

Hiroaki Aikawwa, Matts Essén (auth.)3540615830, 9783540615835

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.

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Table of contents :
Potential theory part I….Pages 3-100
Potential theory part II….Pages 103-200