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

Showing 2018Show all

3 papers · 1 filter

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…

math.FA2018★ 5 cited

Sobolev functions on closed subsets of the real line: long version

Pavel Shvartsman

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

math.FA2018

Sharp finiteness principles for Lipschitz selections

Charles Fefferman, Pavel Shvartsman

Let $(M, ρ)$ be a metric space and let $Y$ be a Banach space. Given a positive integer $m$ , let $F$ be a set-valued mapping from $M$ into the family of all compact convex subsets of…