MathGloss

Let (X,Σ,μ)(X,\Sigma,\mu) be a measure space. The pp-norm of a measurable function fRf \to \mathbb R is fp=(Xfpdμ)1/p.\vert \vert f\vert \vert _p = \left(\int_X \vert f\vert ^p\text d\mu\right)^{1/p}.