9 citations · 14 across the 2 of their papers we have counts for
2 papers
math.CA2007★ 9 cited
On the Signed Small Ball Inequality
Dmitriy Bilyk, Michael T Lacey, Armen Vagharshakyan
This paper is a companion to our prior paper arXiv:0705.4619 on the `Small Ball Inequality in All Dimensions.' In it, we address a more restrictive inequality, and obtain a non-tri…
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^{\…