An example on the maximal function associated to a nondoubling measure.
Aldaz, J.M.
Publicacions Matemàtiques, Tome 49 (2005), p. 453-458 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2005-01-01
DMLE-ID : 4075 
@article{urn:eudml:doc:41568,
     title = {An example on the maximal function associated to a nondoubling measure.},
     journal = {Publicacions Matem\`atiques},
     volume = {49},
     year = {2005},
     pages = {453-458},
     zbl = {1091.42015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41568}
}

Aldaz, J.M. An example on the maximal function associated to a nondoubling measure.. Publicacions Matemàtiques, Tome 49 (2005) pp. 453-458. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41568/