An example on the maximal function associated to a nondoubling measure
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Universidad de La Rioja
info
ISSN: 0214-1493
Argitalpen urtea: 2005
Alea: 49
Zenbakia: 2
Orrialdeak: 453-458
Mota: Artikulua
Beste argitalpen batzuk: Publicacions matematiques
Laburpena
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.