“Lp”的概念、定义、翻译、参考文献-科学参考

单词	Lp
释义	Lp Mathematics For 1 ≤ p ≤ ∞, the Banach space of (real or complex) measurable functions f such that \|f\|^p is Lebesgue integrable. The norm is given by $‖ f ‖ = {(\int_{ℝ} {\| f \|}^{p} d x)}^{1 / p} .$ In L^p two functions that agree almost everywhere are considered equal; this is so that the norm property ∥f∥=0 implies f = 0 holds. When p = 2, then L² is the space of square-integrable functions and is a Hilbert space.
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