A counterexample for maximal operators over a Cantor set of directions

Nets Hawk Katz

Type: Article

Publication Date: 1996-01-01

Citations: 28

DOI: https://doi.org/10.4310/mrl.1996.v3.n4.a10

Abstract

We produce a counterexample to the boundedness of the Cantor set maximal operator.We also produce a sharp counterexample for the restriction of the maximal operator of a truncated Cantor set to a strip.

Locations

Mathematical Research Letters - View - PDF

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