19 citations · 52 across the 13 of their papers we have counts for
4 papers · 2 filters
Small Ball and Discrepancy Inequalities
Michael T Lacey
This is a comprehensive set of notes on the ArXiV paper math.CA/0609815 by Dmitry Bilyk and the author. The focus of that paper is a new inequality for sums of hyperbolic Haar func…
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…
Wiener-Wintner for Hilbert Transform
Michael Lacey, Erin Terwilleger
We prove the following extension of the Wiener--Wintner Theorem in Ergodic Theor and the Carleson Theorem on pointwise convergence of Fourier series: For all measure preserving flo…
On a Lipschitz Variant of the Kakeya Maximal Function
Michael Lacey, Xiaochun Li
In a prior work [Hilbert transform along smooth families of lines math.CA/0310345] the authors introduced a variant of the Kakeya maximal function associated with Lipschitz maps fr…