Infima of superharmonic functions
Infima of superharmonic functions
Let Ω be a Greenian domain in ℝd, d≥2, or—more generally—let Ω be a connected $\mathcal{P}$-Brelot space satisfying axiom D, and let u be a numerical function on Ω, $u\not\equiv\infty$, which is locally bounded from below. A short proof yields the following result: The function u is the infimum of …