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When $0 < p$ < +$\infty$, the p-norm of a measurable function f is defined as the $1/p$ power of the Lebesgue integral of the p-th power of its absolute value over the measurable set E.

Conditions: E is a measurable subset of $\mathbb{R}^n$.; f is a measurable function on E.; $0 < p < +\infty$.

When $0 < p$ < +$\infty$, the p-norm of a measurable function f is defined as the $1/p$ power of the Lebesgue integral of the p-th power of its absolute value over the measurable set E.

Conditions: E is a measurable subset of $\mathbb{R}^n$.; f is a measurable function on E.; $0 < p < +\infty$.