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单词 Lp
释义

Lp

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

In Lp 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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更新时间:2025/5/19 22:19:48