11 citations · 16 across the 5 of their papers we have counts for
9 papers · 1 filter
Wolff's inequality for hypersurfaces
Izabella Laba, Malabika Pramanik
We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature,…
K-distance sets, Falconer conjecture, and discrete analogs
A. Iosevich, I. Laba
We prove a series of results on the size of distance sets corresponding to sets in the Euclidean space. These distances are generated by bounded convex sets and the results depend…
A local smoothing estimate in higher dimensions
I. Laba, T. Wolff
We prove the higher-dimensional analogue of Wolff's local smoothing estimate (Geom. Funct. Anal. 2001) for large p. As in the 2+1-dimensional case, the estimate is sharp for any gi…
On spectral Cantor measures
Izabella Laba, Yang Wang
A probability measure in R^d is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper we study spectral Cantor measures. We establish a…
The spectral set conjecture and multiplicative properties of roots of polynomials
I. Laba
We obtain new partial results supporting the spectral set conjecture in dimension 1.
An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension
Izabella Laba, Terence Tao
We use geometrical combinatorics arguments, including the ``hairbrush'' and x-ray arguments of Wolff and the sticky/plany/grainy analysis of Katz, Laba, and Tao, to show that Besic…