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- W2021294894 abstract "Abstract In Bateman and Volberg (2008) [1] , it was shown that the n-th partial 1/4 Cantor in the plane set decays in Favard length no faster than C log n n . In Bond and Volberg (2008) [2] , the so-called circular Favard length of the same set is studied, and the same estimate is shown to persist when the circle has radius r ⩾ C n . By considering characteristic functions, the result of Bond and Volberg (2008) [2] naturally leads to a conjecture which (if true) would imply the sharpness of the L log log L boundedness of the circular maximal operator proved by Seeger, Tao and Wright (2005) [3] ." @default.
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- W2021294894 date "2010-09-01" @default.
- W2021294894 modified "2023-09-26" @default.
- W2021294894 title "How likely is Buffon's ring toss to intersect a planar Cantor set?" @default.
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- W2021294894 doi "https://doi.org/10.1016/j.crma.2010.08.002" @default.
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