P. Shvartsman

activity

20062025

most citedOn Sobolev extension domains in

R^{n}

7 citations · 41 across the 19 of their papers we have counts for

collaborators

23 papers

math.FA2025

Efficient Algorithms for Lipschitz Selections of Set-Valued Mappings in $R^{2}$ : long version

Pavel Shvartsman

Let $F$ be a set-valued mapping from an $N$ -element metric space $(M, ρ)$ into the family of all closed half-planes in $R^{2}$ . In this paper, we provide an efficient…

math.FA2024

Sharp Finiteness Principles for the boundary values of $C^{2}$ -functions: long version

Pavel Shvartsman

Let $Ω$ be a domain in $R^{n}$ with boundary $\partial Ω$ . We prove the following Finiteness Principle for the boundary values of $C^{2} (Ω)$ -functions: A function $f:\partialΩ\to…

math.FA2023

Existence Criteria for Lipschitz Selections of Set-Valued Mappings in $R^{2}$

Pavel Shvartsman

Let $F$ be a set-valued mapping which to each point $x$ of a metric space $(M, ρ)$ assigns a convex closed set $F (x) \subset R^{2}$ . We present several constructive cri…

math.FA2021

On the Core of a Low Dimensional Set-Valued Mapping

Pavel Shvartsman

Let $M = (M, ρ)$ be a metric space and let $X$ be a Banach space. Let $F$ be a set-valued mapping from $M$ into the family $K_{m} (X)$ of all…

math.FA2020★ 2 cited

The Core of a 2-Dimensional Set-Valued Mapping. Existence Criteria and Efficient Algorithms for Lipschitz Selections of Low Dimensional Set-Valued Mappings

Pavel Shvartsman

Let $M = (M, ρ)$ be a metric space and let $X$ be a Banach space. Let $F$ be a set-valued mapping from $M$ into the family $K_{m} (X)$ of all…

math.FA2018★ 5 cited

Extension criteria for homogeneous Sobolev space of functions of one variable

Pavel Shvartsman

For each $p > 1$ and each positive integer $m$ we give intrinsic characterizations of the restriction of the homogeneous Sobolev space $L_{p}^{m} (R)$ to an arbitrary closed subset $E$ of…

Efficient Algorithms for Lipschitz Selections of Set-Valued Mappings in R2: long version

Sharp Finiteness Principles for the boundary values of C2-functions: long version

Existence Criteria for Lipschitz Selections of Set-Valued Mappings in R2

On the Core of a Low Dimensional Set-Valued Mapping

The Core of a 2-Dimensional Set-Valued Mapping. Existence Criteria and Efficient Algorithms for Lipschitz Selections of Low Dimensional Set-Valued Mappings

Extension criteria for homogeneous Sobolev space of functions of one variable

Efficient Algorithms for Lipschitz Selections of Set-Valued Mappings in $R^{2}$ : long version

Sharp Finiteness Principles for the boundary values of $C^{2}$ -functions: long version

Existence Criteria for Lipschitz Selections of Set-Valued Mappings in $R^{2}$