Dmitriy Stolyarov

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20242026

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math.CA2026

Anisotropic Bourgain--Brezis inequalities

Dmitriy Stolyarov

We provide an adjustment of the Hardy--Littlewood--Sobolev inequality for p=1 to the anisotropic setting. Several examples of anisotropic Bourgain--Brezis inequalities are obtained…

math.MG2026

A random Lipschitz function detecting jumps

Dmitriy Stolyarov

Recently, A. Tyulenev and the author studied the class of metric spaces $X$ such that for every mapping $γ : [0, 1] \to X$ , there exists a $1$ -Lipschitz functi…

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 $X$ , a continuous map $γ : [a, b] \to X$ is…