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- Hardy–Littlewood_maximal_function abstract "In mathematics, the Hardy–Littlewood maximal operator M is a significant non-linear operator used in real analysis and harmonic analysis. It takes a locally integrable function f : Rd → C and returns another function Mf that, at each point x ∈ Rd, gives the maximum average value that f can have on balls centered at that point. More precisely,where B(x, r) is the ball of radius r centred at x, and |E| denotes the d-dimensional Lebesgue measure of E ⊂ Rd.The averages are jointly continuous in x and r, therefore the maximal function Mf, being the supremum over r > 0, is measurable. It is not obvious that Mf is finite almost everywhere. This is a corollary of the Hardy–Littlewood maximal inequality".
- Hardy–Littlewood_maximal_function wikiPageID "10094198".
- Hardy–Littlewood_maximal_function wikiPageRevisionID "605999602".
- Hardy–Littlewood_maximal_function subject Category:Harmonic_analysis.
- Hardy–Littlewood_maximal_function subject Category:Real_analysis.
- Hardy–Littlewood_maximal_function subject Category:Types_of_functions.
- Hardy–Littlewood_maximal_function comment "In mathematics, the Hardy–Littlewood maximal operator M is a significant non-linear operator used in real analysis and harmonic analysis. It takes a locally integrable function f : Rd → C and returns another function Mf that, at each point x ∈ Rd, gives the maximum average value that f can have on balls centered at that point.".
- Hardy–Littlewood_maximal_function label "Fonction maximale de Hardy-Littlewood".
- Hardy–Littlewood_maximal_function label "Hardy–Littlewood maximal function".
- Hardy–Littlewood_maximal_function label "哈代－李特爾伍德極大函數".
- Hardy–Littlewood_maximal_function sameAs Hardy%E2%80%93Littlewood_maximal_function.
- Hardy–Littlewood_maximal_function sameAs Fonction_maximale_de_Hardy-Littlewood.
- Hardy–Littlewood_maximal_function sameAs Q3075250.
- Hardy–Littlewood_maximal_function sameAs Q3075250.
- Hardy–Littlewood_maximal_function wasDerivedFrom Hardy–Littlewood_maximal_function?oldid=605999602.