Ákos Magyar

collaborators

4 papers

math.CA2023

The Discrete Spherical Maximal Function: A new proof of $ℓ^{2}$ -boundedness

Neil Lyall, Akos Magyar, Alex Newman +1

We provide a new direct proof of the $ℓ^{2}$ -boundedness of the Discrete Spherical Maximal Function that neither relies on abstract transference theorems (and hence Stein's Spheri…

math.CO2023

Weak hypergraph regularity and applications to geometric Ramsey theory

Neil Lyall, Akos Magyar

Let $Δ = Δ_{1} \times \dots \times Δ_{d} \subseteq R^{n}$ , where $R^{n} = R^{n_{1}} \times \dots \times R^{n_{d}}$ with each $Δ_{i} \subseteq R^{n_{i}}$ a non-degen…

math.CO2023

Spherical Configurations over Finite Fields

Neil Lyall, Akos Magyar, Hans Parshall

We establish that if $d \geq 2 k + 6$ and $q$ is odd and sufficiently large with respect to $α \in (0, 1)$ , then every set $A \subseteq F_{q}^{d}$ of size $∣ A ∣ \geq α q^{d}$ will con…

math.CA2012

Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms

Alexandru D. Ionescu, Akos Magyar, Stephen Wainger

We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. In this paper we prove $L^{2}$ boundedness of discrete singular R…

The Discrete Spherical Maximal Function: A new proof of ℓ2-boundedness

Weak hypergraph regularity and applications to geometric Ramsey theory

Spherical Configurations over Finite Fields

Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms

The Discrete Spherical Maximal Function: A new proof of $ℓ^{2}$ -boundedness