Circular Favard length of the four-corner Cantor set (Q2430507)

The authors generalize the well known Cantor set and study some of its interesting properties by using the method of Bateman and Volberg in order to prove a certain estimate for the lacunary circular maximal function from \textit{A. Seeger}, \textit{T. Tao} and \textit{J. Wright} [``Notes on the lacunary spherical maximal function'', preprint (2005)]. The four-corner Cantor set is the shifted Cartesian square of \(\mathcal{C}\times\mathcal{C}\), \(\mathcal{C}\) being the classical middle-half Cantor set.