An example on the maximal function associated to a nondoubling measure

• Jesús Munárriz Aldaz ^[1]
  1. [1] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 49, Nº 2, 2005, págs. 453-458
• Idioma: inglés
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• Resumen

  • 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.