Hare, K.; Stokolos, A. On weak type inequalities for rare maximal functions. (English) Zbl 1030.42017 Colloq. Math. 83, No. 2, 173-182 (2000). Summary: 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. Cited in 3 ReviewsCited in 4 Documents MSC: 42B25 Maximal functions, Littlewood-Paley theory 26D15 Inequalities for sums, series and integrals Keywords:weak type inequalities; rare maximal functions; Hardy-Littlewood maximal functions; summability properties PDFBibTeX XMLCite \textit{K. Hare} and \textit{A. Stokolos}, Colloq. Math. 83, No. 2, 173--182 (2000; Zbl 1030.42017) Full Text: DOI EuDML