Á. Magyar

activity

20042026

most citedDiophantine equations in the primes

30 citations · 95 across the 25 of their papers we have counts for

collaborators

Showing math.CAShow all

15 papers · 1 filter

math.CA2025

The VC-dimension and point configurations in $R^{d}$

Alex Iosevich, Akos Magyar, Alex McDonald +1

Given a set $X$ and a collection $H$ of functions from $X$ to ${0, 1}$ , the VC-dimension measures the complexity of the hypothesis class $H$ in the context of…

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.CA2023

Discrete maximal operators and pinned simplices

Neil Lyall, Akos Magyar, Alex Newman +1

We prove $ℓ^{2}$ estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.

math.CA2022

Polynomial sequences in discrete nilpotent groups of step 2

Alexandru D. Ionescu, Akos Magyar, Mariusz Mirek +1

We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular…

math.CA2020★ 6 cited

Simplices in thin subsets of Euclidean spaces

Alex Iosevich, Akos Magyar

Let $\De$ be a non-degenerate simplex on $k$ vertices. We prove that there exists a threshold $s_{k} < k$ such that any set $A\subs \R^k$ of Hausdorff dimension $d im A \geq s_{k}$ necess…

math.CA2020★ 7 cited

Multilinear maximal operators associated to simplices

Brian Cook, Neil Lyall, Akos Magyar

We establish $L^{p_{1}} \times \dots \times L^{p_{k}} \to L^{r}$ and $ℓ^{p_{1}} \times \dots \times ℓ^{p_{k}} \to ℓ^{r}$ type bounds for multilinear maximal operators associated to averages…