KnowraLp spaceLinked fromLinked fromThe 17 pages that link to Lp space, each with the reason it gives.All 17Broader topic 2Related 10Narrower topic 4Compared with 1Measure theoryRelated: These spaces organize functions by integrability and support much of analysis.Almost everywhereRelated: Its elements are equivalence classes, not individual pointwise function values.Measure spaceRelated: Its definition depends on integrating powers over a measure space.Henri LebesgueRelated: Lebesgue integration defines the norms that make these function spaces possible.Parallelogram lawRelated: For p other than two, its usual norm generally fails the parallelogram law.Hardy–Littlewood maximal functionRelated: Its norms provide the natural scale for maximal-operator bounds.Approximation theoryRelated: Lp norms provide common ways to measure average approximation error.Young's inequality for productsRelated: Young's bound controls products of functions whose powers are integrable.Hilbert transformRelated: For 1 < p < ∞, the transform extends to a bounded operator on these spaces.Dvoretzky's theoremRelated: Its changing geometry across p illustrates how ambient norms shape the size of Euclidean sections.