Definition and preliminary discussion of subharmonic functions

  • Tibor Radó
Part of the Ergebnisse der Mathematik und Ihrer Grenƶgebiete book series (MATHE1, volume 2)

Abstract

Let u (x, y) be a function in a domain G (connected open set), such that -∞ ≦ u < +∞ in G. That is, -∞ is an admissible value of u , while +∞ is not. Such a function is subharmonic in G if it satisfies the following conditions (Riesz [5], part I, p.333).

Keywords

Harmonic Function DIRICHLET Problem Polar Angle Circular Disc Subharmonic Function 
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 New York Heidelberg Berlin 1971

Authors and Affiliations

  • Tibor Radó

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