Roman D. Oleinik

activity

20232026

collaborators

4 papers

math.FA2026

On one relaxation of the bounded-length-distortion condition in the context of metric measure spaces

Roman D. Oleinik

We reformulate the bounded-length-distortion condition for maps between metric spaces in a certain relaxed form that requires the presence of a reference measure on the source spac…

math.FA2025

On estimates of the Bourgain-Brezis-Mironescu type in the singular context

Roman D. Oleinik

We extend the characterization of the Bourgain-Brezis-Mironescu type for maps from certain metric measure spaces to arbitrary metric spaces to a broader class of mollifiers.

math.FA2024

Characterization of AC and Sobolev curves via Lipschitz post-compositions

Roman D. Oleinik, Alexander I. Tyulenev

Let $X := (X, d)$ be an arbitrary metric space. For each $p \in [1, \infty]$ , we prove that a map $γ : [a, b] \to X$ is $p$ -abs…

math.FA2023

Asymptotic relations of the Bourgain-Brezis-Mironescu type for mappings between singular spaces

Roman D. Oleinik

We explore the asymptotic behavior of families of Bourgain-Brezis-Mironescu type nonlocal functionals for mappings from metric measure spaces to arbitrary metric spaces. As the fir…