On weak type inequalities for rare maximal functions
Volume 83 / 2000
Colloquium Mathematicum 83 (2000), 173-182
DOI: 10.4064/cm-83-2-173-182
Abstract
The properties of rare maximal functions (i.e. Hardy-Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.
