I. Laba

activity

19992026

most citedOn sets of integers not containing long arithmetic progressions

21 citations · 107 across the 30 of their papers we have counts for

collaborators

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17 papers · 1 filter

math.CA2026

Favard length and generalized projections

Izabella Laba, Alex McDonald, Krystal Taylor

We investigate generalized Favard lengths associated to smooth families of nonlinear projections. Under suitable regularity and transversality assumptions, we prove that generalize…

math.CA2022

Vanishing sums of roots of unity and the Favard length of self-similar product sets

Izabella Laba, Caleb Marshall

We improve a special case of the Lam-Leung lower bound on the number of elements in a vanishing sum of $N$ -th roots of unity. Using this result, we extend the Favard length estimat…

math.CA2018

Maximal operators and decoupling for $Λ (p)$ Cantor measures

Izabella Laba

For $2 \leq p < \infty$ , $α^{'} > 2/ p$ , and $δ > 0$ , we construct Cantor-type measures on $R$ supported on sets of Hausdorff dimension $α < α^{'}$ for which the associated maximal operat…

math.CA2017★ 1 cited

On the maximal directional Hilbert transform

Izabella Laba, Alessandro Marinelli, Malabika Pramanik

For any dimension $n \geq 2$ , we consider the maximal directional Hilbert transform $H_{U}$ on $R^{n}$ associated with a direction set $U \subseteq S^{n - 1}$ :…

math.CA2016★ 4 cited

Decoupling and near-optimal restriction estimates for Cantor sets

Izabella Laba, Hong Wang

For any $α \in (0, d)$ , we construct Cantor sets in $R^{d}$ of Hausdorff dimension $α$ such that the associated natural measure $μ$ obeys the restriction estimate $\| \widehat{…

math.CA2013★ 17 cited

Quantitative visibility estimates for unrectifiable sets in the plane

M. Bond, I. Laba, J. Zahl

The "visibility" of a planar set $S$ from a point $a$ is defined as the normalized size of the radial projection of $S$ from $a$ to the unit circle centered at $a$ . Simon and Solom…