An example on the maximal function associated to a nondoubling measure

Details An example on the maximal function associated to a nondoubling measure An example on the maximal function associated to a nondoubling measure

2004-12-03

arxiv.org/abs/math/0412081v1

Publ. Mat. 49 (2005), 453-458

Mathematics

Classical Analysis and ODEs

Scientific paper

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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