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arXiv 2009-02-05 DOI 10.1112/blms/bdq059 0 views

The Favard length of product Cantor sets

Laba, Izabella · Zhai, Kelan

Original · EN

Nazarov, Peres and Volberg proved recently that the Favard length of the n-th iteration of the four-corner Cantor set is bounded from above by n⁻ᶜ for an appropriate c. We generalize this result to all product Cantor sets whose projection in some direction has positive 1-dimensional measure.

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