Potential Theory - Selected Topics - Matts Essen,Hiroaki Aikawa
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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 Na ... Full description
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Description
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.
More Information
| Author | Matts Essen, Hiroaki Aikawa |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 1996 |
| Cover type | Softcover |
| EAN | 9783540615835 |