Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that

(i)	$\mathcal{M} = \mathcal{M}(X \to \mathbb{C})$ is the D5578: Set of complex Borel functions on $M$

The set of P-integrable complex functions on $M$ with respect to $p \in [1, \infty)$ is the D11: Set \begin{equation} \mathfrak{L}^p(M \to \mathbb{C}) : = \left\{ f \in \mathcal{M} : \int_X |f|^p \, d \mu < \infty \right\} \end{equation}