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

Aldaz, J.M.. "An example on the maximal function associated to a nondoubling measure.." Publicacions Matemàtiques 49.2 (2005): 453-458. <http://eudml.org/doc/41568>.

@article{Aldaz2005,
abstract = {We show that there is a measure y defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to y does not satisfy weak type (1, 1) bounds.},
author = {Aldaz, J.M.},
journal = {Publicacions Matemàtiques},
keywords = {Análisis de Fourier; Operadores maximales; Medidas de Borel; Plano hiperbólico; Hardy-Littlewood maximal function; non-doubling measures; non-homogeneous spaces},
language = {eng},
number = {2},
pages = {453-458},
title = {An example on the maximal function associated to a nondoubling measure.},
url = {http://eudml.org/doc/41568},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Aldaz, J.M.
TI - An example on the maximal function associated to a nondoubling measure.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 2
SP - 453
EP - 458
AB - We show that there is a measure y defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to y does not satisfy weak type (1, 1) bounds.
LA - eng
KW - Análisis de Fourier; Operadores maximales; Medidas de Borel; Plano hiperbólico; Hardy-Littlewood maximal function; non-doubling measures; non-homogeneous spaces
UR - http://eudml.org/doc/41568
ER -