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
Any de publicació: 2007
Volum: 39
Número: 2
Pàgines: 203-208
Tipus: Article
Altres publicacions en: Bulletin of the London Mathematical Society
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Resum
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.