Dimension dependency of the weak type $(1,1)$ bounds for maximal functions associated to finite radial measures
Classical Analysis and ODEs
2010-09-24 v2
Abstract
We show that the best constants appearing in the weak type (1,1) inequalities satisfied by the centered Hardy-Littlewood maximal function associated to some finite radial measures, such as the standard gaussian measure, grow exponentially fast with the dimension.
Keywords
Cite
@article{arxiv.math/0504240,
title = {Dimension dependency of the weak type $(1,1)$ bounds for maximal functions associated to finite radial measures},
author = {J. M. Aldaz},
journal= {arXiv preprint arXiv:math/0504240},
year = {2010}
}
Comments
7 pages, to appear in the Bull. London Math. Soc