essential supremum

essential supremum (plural essential suprema)

1. (mathematical analysis) The supremum (least upper bound) of a function which holds almost everywhere. In symbols, ${\displaystyle \mathrm {ess} \sup f=\inf \ \{M:\mu (\{x:f(x)>M\})=0\}}$

• (antonym(s) of “supremum valid almost everywhere”): essential infimum