E. Palsson

activity

20152026

collaborators

Showing 2026Show all

5 papers · 1 filter

math.CA2026

Minkowski sums with convex curves without pointwise Fourier decay

Alex Iosevich, Zhangze Li, Eyvindur Palsson +2

Let $Γ \subset R^{2}$ be a compact convex graph and define \[ T(Γ) = \inf \left\{ t: \dim_{\mathrm H}(E)>t \Longrightarrow |E+Γ|>0 \text{ for every compact }E\subset\mathbb R^2…

math.CA2026

Pinned nonempty interior and volumes of simplices

Eyvindur Ari Palsson, Georgios Psaromiligkos

We study pinned nonempty-interior problems for scalar two-point configurations and for volumes of simplices. For $E \subset R^{d}$ , $d \geq 2$ , compact and a smooth scalar conf…

math.CA2026

Sharp higher order regularity of discrete maximal functions

Sung-Yi Liao, José Madrid, Eyvindur Palsson +1

We derive sharp $ℓ^{p} (Z)$ bounds for the $k$ th derivative of the discrete uncentered maximal operator applied to characteristic functions $f : Z \to {0, 1}$ in the…

math.CA2026

$ℓ^{p}$ improving estimates for multilinear forms motivated by distance graphs

Eyvindur Palsson, Jennifer Smucker

We undertake a systematic study of the mapping properties of forms based on distance graphs in $Z^{d}$ to see how the structure of a graph, $G$ , affects the $ℓ^{p}$ imp…

math.CA2026

On volumes of simplices in intermediate dimensions

José Gaitan Montejo, Eyvindur Ari Palsson

A variant of the Falconer distance problem asks for fixed $k \geq 1$ and $d \geq k + 1$ , how large does the Hausdorff dimension of a Borel set $E \subset R^{d}$ need to be to guar…

Minkowski sums with convex curves without pointwise Fourier decay

Pinned nonempty interior and volumes of simplices

Sharp higher order regularity of discrete maximal functions

ℓp improving estimates for multilinear forms motivated by distance graphs

On volumes of simplices in intermediate dimensions

$ℓ^{p}$ improving estimates for multilinear forms motivated by distance graphs