Category:Subharmonic Functions
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This category contains results about Subharmonic Functions.
Definitions specific to this category can be found in Definitions/Subharmonic Functions.
Let $D$ be a complex domain.
A subharmonic function is a continuous real-valued function $f$ such that for every closed disk $\map {B^-} {a; r} \subseteq D$ with center $a$ and radius $r$:
- $\ds \map f a \le \int_0^{2 \pi} \map f {a + r e^{i \theta} } \rd \theta$