Laura Cladek

activity

20152020

most citedImproved endpoint bounds for the lacunary spherical maximal operator

6 citations · 15 across the 8 of their papers we have counts for

collaborators

13 papers

math.CA2020★ 4 cited

Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle

Laura Cladek, Terence Tao

We obtain new bounds on the additive energy of (Ahlfors-David type) regular measures in both one and higher dimensions, which implies expansion results for sums and products of the…

math.CA2020

Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set

Laura Cladek, Blair Davey, Krystal Taylor

The Favard length of a subset of the plane is defined as the average of its orthogonal projections. This quantity is related to the probabilistic Buffon needle problem; that is, th…

math.CA2019

Directional maximal function along the primes

Laura Cladek, Polona Durcik, Ben Krause +1

We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficient…

math.CA2019★ 1 cited

Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in $Z^{2}$

Laura Cladek, Ben Krause

Let $V = {v_{1}, \dots, v_{N}}$ be a collection of $N$ vectors that live near a discrete sphere. We consider discrete directional maximal functions on $Z^{2}$ where the set of…

math.CA2018★ 2 cited

Spherical means on the Heisenberg group: Stability of a maximal function estimate

Theresa C. Anderson, Laura Cladek, Malabika Pramanik +1

Consider the surface measure $μ$ on a sphere in a nonvertical hyperplane on the Heisenberg group $H^{n}$ , $n \geq 2$ , and the convolution $f * μ$ . Form the associated maximal fu…

math.CA2017

Sparse bounds for pseudodifferential operators

David Beltran, Laura Cladek

We prove sparse bounds for pseudodifferential operators associated to Hörmander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis.…

math.CA2017★ 1 cited

Sparse domination of Hilbert transforms along curves

Laura Cladek, Yumeng Ou

We obtain sharp sparse bounds for Hilbert transforms along curves in $R^{n}$ , and derive as corollaries weighted norm inequalities for such operators. The curves that we con…

math.CA2017★ 6 cited

Improved endpoint bounds for the lacunary spherical maximal operator

Laura Cladek, Ben Krause

We prove new endpoint bounds for the lacunary spherical maximal operator and as a consequence obtain almost everywhere pointwise convergence of lacunary spherical means for functio…

math.CA2016★ 1 cited

Radial Fourier Multipliers in $R^{3}$ and $R^{4}$

Laura Cladek

We prove that for radial Fourier multipliers $m : R^{3} \to C$ supported compactly away from the origin, $T_{m}$ is restricted strong type (p,p) if $K = m^$ is in $L^…

math.CA2016

A Discrete Carleson Theorem Along the Primes with a Restricted Supremum

Laura Cladek, Kevin Henriot, Ben Krause +2

Consider the discrete maximal function acting on finitely supported functions on the integers, \[ \mathcal{C}_Λf(n) := \sup_{λ\in Λ} | \sum_{p \in \pm \mathbb{P}} f(n-p) \log |p| \…

math.CA2015

On the square function associated with generalized Bochner-Riesz means

Laura Cladek

We consider generalized Bochner-Riesz multipliers of the form $(1 - ρ (ξ))_{+}^{λ}$ where $ρ : R^{2} \to R$ belongs to a class of rough distance functions homogeneous with res…

math.CA2015

New $L^{p}$ bounds for Bochner-Riesz multipliers associated with convex planar domains with rough boundary

Laura Cladek

We consider generalized Bochner-Riesz multipliers of the form $(1 - ρ (ξ))_{+}^{λ}$ where $ρ (ξ)$ is the Minkowski functional of a convex domain in $R^{2}$ , with emphasis on domains…

math.CA2015

Multiplier transformations associated to convex domains in $R^{2}$

Laura Cladek

We consider Fourier multipliers in $R^{2}$ of the form $m \circ ρ$ where $ρ$ is the Minkowski functional associated to a convex set in $R^{2}$ , and prove $L^{p}$ bounds f…

Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle

Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set

Directional maximal function along the primes

Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in Z2

Spherical means on the Heisenberg group: Stability of a maximal function estimate

Sparse bounds for pseudodifferential operators

Sparse domination of Hilbert transforms along curves

Improved endpoint bounds for the lacunary spherical maximal operator

Radial Fourier Multipliers in R3 and R4

A Discrete Carleson Theorem Along the Primes with a Restricted Supremum

On the square function associated with generalized Bochner-Riesz means

New Lp bounds for Bochner-Riesz multipliers associated with convex planar domains with rough boundary

Multiplier transformations associated to convex domains in R2

Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in $Z^{2}$

Radial Fourier Multipliers in $R^{3}$ and $R^{4}$

New $L^{p}$ bounds for Bochner-Riesz multipliers associated with convex planar domains with rough boundary

Multiplier transformations associated to convex domains in $R^{2}$