Potential Theory - Selected Topics

1996
ISBN: 978-3-540-61583-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1633, 202 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 330 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Essen, Matts

Aikawa, Hiroaki

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

Potential theory part I.- Potential theory part II.