An example on the maximal function associated to a nondoubling measure

  1. Munárriz Aldaz, Jesús 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 2005

Volume: 49

Issue: 2

Pages: 453-458

Type: Article

DOI: 10.5565/PUBLMAT_49205_10 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

Abstract

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.

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