D. Dkabrowski

activity

20212025

collaborators

3 papers

math.CA2025

On the logarithmic equilibrium measure on curves

Damian Dąbrowski, Tuomas Orponen

Let $μ$ be the logarithmic equilibrium measure on a compact set $γ \subset R^{d}$ . We prove that $μ$ is absolutely continuous with respect to the length measure on the part…

math.CA2024

On the dimension of $s$ -Nikodým sets

Damian Dąbrowski, Max Goering, Tuomas Orponen

Let $s \in [0, 1]$ . We show that a Borel set $N \subset R^{2}$ whose every point is linearly accessible by an $s$ -dimensional family of lines has Hausdorff dimension at mos…

math.CA2021

The measures with $L^{2}$ -bounded Riesz transform satisfying a subcritical Wolff-type energy condition

Damian Dąbrowski, Xavier Tolsa

In this work we obtain a geometric characterization of the measures $μ$ in $R^{n + 1}$ with polynomial upper growth of degree $n$ such that the $n$ -dimensional Riesz transfo…

On the logarithmic equilibrium measure on curves

On the dimension of s-Nikodým sets

The measures with L2-bounded Riesz transform satisfying a subcritical Wolff-type energy condition

On the dimension of $s$ -Nikodým sets

The measures with $L^{2}$ -bounded Riesz transform satisfying a subcritical Wolff-type energy condition