3 papers
math.CA2026
Catching jumps of metric-valued mappings with Lipschitz functions
Dmitriy Stolyarov, Alexander Tyulenev
It follows from recent results of V. Bakhtin, R. Oleinik, and the second named author that, given a metric space , a continuous map is…
math.FA2025
An atomic decomposition for functions of bounded variation
Daniel Spector, Cody B. Stockdale, Dmitriy Stolyarov
In this paper, we give a decomposition of the gradient measure of an arbitrary function of bounded variation into a sum of atoms , where is a set of finite p…
math.FA2025
On the Fourier transform of measures in Besov spaces
Riju Basak, Daniel Spector, Dmitriy Stolyarov
We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of negative exponent: \begin{align*}…