An example on the maximal function associated to a nondoubling measure
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We show that there is a measure , defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to does not satisfy weak type bounds.
Cite
@article{arxiv.math/0412081,
title = {An example on the maximal function associated to a nondoubling measure},
author = {J. M. Aldaz},
journal= {arXiv preprint arXiv:math/0412081},
year = {2007}
}