Potential Theory—Selected Topics
Aikawwa, Hiroaki.
Potential Theory—Selected Topics [electronic resource] / by Hiroaki Aikawwa, Matts Essén. - IX, 202 p. online resource. - Lecture Notes in Mathematics, 1633 0075-8434 ; . - Lecture Notes in Mathematics, 1633 .
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.
9783540699910
10.1007/BFb0093410 doi
Mathematics.
Functions of complex variables.
Potential theory (Mathematics).
Real Functions.
Functions of a Complex Variable.
Potential Theory.
QA331.5
515.8
Potential Theory—Selected Topics [electronic resource] / by Hiroaki Aikawwa, Matts Essén. - IX, 202 p. online resource. - Lecture Notes in Mathematics, 1633 0075-8434 ; . - Lecture Notes in Mathematics, 1633 .
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.
9783540699910
10.1007/BFb0093410 doi
Mathematics.
Functions of complex variables.
Potential theory (Mathematics).
Real Functions.
Functions of a Complex Variable.
Potential Theory.
QA331.5
515.8