Dimension dependency of the weak type (1, 1) bounds for maximal functions associated to finite radial measures
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Universidad de La Rioja
info
ISSN: 0024-6093
Year of publication: 2007
Volume: 39
Issue: 2
Pages: 203-208
Type: Article
More publications in: Bulletin of the London Mathematical Society
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Abstract
We show that the smallest constants appearing in the weak type (1, 1) inequalities satisfied by the centred Hardy-Littlewood maximal function associated to some finite radial measures, such as the standard gaussian measure, grow exponentially fast with the dimension.