Definition and preliminary discussion of subharmonic functions
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 , part I, p.333).
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