26 citations · 51 across the 8 of their papers we have counts for
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math.CA2008★ 4 cited
An estimate from below for the Buffon needle probability of the four-corner Cantor set
Michael Bateman, Alexander Volberg
Let $\Cant_n$ be the -th generation in the construction of the middle-half Cantor set. The Cartesian square $\K_n = \Cant_n \times \Cant_n$ consists of squares of side-len…
math.CA2008★ 2 cited
L^p Estimates for Maximal Averages Along One-variable Vector Fields in R^2
Michael Bateman
We prove a conjecture of Lacey and Li in the case that the vector field depends only on one variable. Specifically: let v be a vector field defined on the unit square such that v(x…