An example on the maximal function associated to a nondoubling measure
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Universidad de La Rioja
info
ISSN: 0214-1493
Année de publication: 2005
Volumen: 49
Número: 2
Pages: 453-458
Type: Article
D'autres publications dans: Publicacions matematiques
Résumé
We show that there is a measure $\mu$, defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to $\mu$ does not satisfy weak type $(1,1)$ bounds.