On weak type inequalities for rare maximal functions
K. Hare, A. Stokolos (2000)
Colloquium Mathematicae
Similarity:
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.