Potential Theory—Selected Topics [electronic resource] / by Hiroaki Aikawwa, Matts Essén.

By:

Aikawwa, Hiroaki [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1633Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996Description: IX, 202 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540699910

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515.8 23

LOC classification:

QA331.5

Online resources:

Click here to access online

In: Springer eBooksSummary: 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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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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