19 citations · 52 across the 13 of their papers we have counts for
Showing 2007 · math.CAShow all
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math.CA2007★ 1 cited
The Walsh model for Carleson
Ciprian Demeter, Michael Lacey, Terence Tao +1
We study the Walsh model of a certain maximal truncation of Carleson's operator, related to the Return Times Theorem from Ergodic Theory.
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^{\…