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Balayage Theory

  • Jürgen Bliedtner
  • Wolfhard Hansen
Chapter
  • 389 Downloads
Part of the Universitext book series (UTX)

Abstract

The content of this chapter is the main issue of the book. Almost all principal results in potential theory depend on properties of the reduit and its regularization, the balayage. Therefore the study of the functions
$${\text{R:}}\left( {{\text{u}},{\text{A,x}}} \right) \mapsto R_{\text{u}}^{\text{A}} \left( {\text{x}} \right){\text{and}}\hat R:\left( {{\text{u}},{\text{A,x}}} \right) \mapsto \hat R_{\text{u}}^{\text{A}} \left( {\text{x}} \right)$$
is the most important tool.

Keywords

Compact Subset Borel Subset Riesz Potential Harmonic Space Fine Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Jürgen Bliedtner
    • 1
  • Wolfhard Hansen
    • 2
  1. 1.Fachbereich MathematikUniversität FrankfurtFrankfurtGermany
  2. 2.Fakultät für MathematikUniversität BielefeldBielefeldGermany

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