KnowraHardy–Littlewood maximal functionLinked fromLinked fromThe 7 pages that link to Hardy–Littlewood maximal function, each with the reason it gives.All 7Broader topic 2Related 5Lebesgue differentiation theoremRelated: Its weak-type bound controls where averaging errors can remain large.G. H. HardyBroader topic: The maximal function bears Hardy and Littlewood’s names and became a central tool in analysis.Vitali covering theoremRelated: The covering theorem bounds the measure of points where this maximal function is large.John Edensor LittlewoodBroader topic: This central tool in harmonic analysis reflects ideas developed by Hardy and Littlewood.Lebesgue density theoremRelated: Its weak-type bound controls points where small-scale averages deviate persistently.Besicovitch covering theoremRelated: Bounded-overlap selection is a standard route to its weak-type estimate.Vitali covering lemmaRelated: Covering lemmas establish weak-type bounds for this operator.