17 Dec
2012
17 Dec
'12
2:41 p.m.
This is an announcement for the paper "On the Hardy-Littlewood maximal function for the cube" by Jean Bourgain.
Abstract: It is shown that the Hardy-Littlewood maximal function associated to the cube in $\mathbb R^n$ obeys dimensional free bounds in $L^p$ fir $p>1$. Earlier work only covered the range $p>\frac 32$.
Archive classification: math.FA
Mathematics Subject Classification: 42B25
Remarks: 20 pages
Submitted from: bourgain@ias.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1212.2661
or