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On weak type inequalities for rare maximal functions

Volume 83 / 2000

K. Hare, A. Stokolos 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.

Authors

  • K. Hare
  • A. Stokolos

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