Dimension dependency of the weak type (1,1) bounds for maximal functions associated to finite radial measures
classification
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keywords
associateddimensionfinitemaximalmeasuresradialtypeweak
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We show that the best constants appearing in the weak type (1,1) inequalities satisfied by the centered Hardy-Littlewood maximal function associated to some finite radial measures, such as the standard gaussian measure, grow exponentially fast with the dimension.
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