Mathematical Research Letters

Volume 3, Issue 4, July 1996 pp. 527-536.

A counterexample for maximal operators over a Cantor set of directions

Authors: Nets Hawk Katz
Author institution: Yale University

Summary: 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.

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