5 citations · 6 across the 2 of their papers we have counts for
2 papers
math.CA2007★ 5 cited
On the Small Ball Inequality in All Dimensions
Dmitry Bilyk, Michael Lacey, Armen Vagharshakyan
Let h_R denote an L ^{\infty} normalized Haar function adapted to a dyadic rectangle R contained in the unit cube in dimension d. We establish a non-trivial lower bound on the L^{\…
math.CA2006★ 1 cited
On the Small Ball Inequality in Three Dimensions
Michael T Lacey, Dmitry Bilyk
We prove an inequality related to questions in Approximation Theory, Probability Theory, and to Irregularities of Distribution. Let denote an normalized Haar fu…