Luca Marchese
Published 2021-04-20Version 1
We prove upper and lower bounds for the Lebesgue measure of the set of products $xy$ with $x$ and $y$ in the middle-third Cantor set. Our method is inspired by Athreya, Reznick and Tyson, but a different subdivision of the Cantor set provides a more rapidly converging approximation formula.
Interiors of continuous images of the middle-third Cantor set
On the sum of squares of middle-third Cantor set
Multiplication on uniform $λ$-Cantor sets
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