A note on rare maximal functions
Volume 95 / 2003
Colloquium Mathematicum 95 (2003), 49-51
MSC: Primary 42B25.
DOI: 10.4064/cm95-1-4
Abstract
A necessary and sufficient condition is given on the basis of a rare maximal function $M_{ l }$ such that $M_{ l }f \in L^{1}([0,1])$ implies $f \in L \log L([0,1])$.
