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 2012Show all

2 papers · 1 filter

math.FA2012★ 2 cited

On The Sum Of A Sobolev Space And A Weighted $L_{P}$ -Space

Pavel Shvartsman

Let $p > n$ and let $L_{p}^{1} (R^{n})$ be a homogeneous Sobolev space. For an arbitrary Borel measure $μ$ on $R^{n}$ we give a constructive characterization of the space $L^1_p(R^n)+L_p(R^n;…

math.FA2012★ 2 cited

Sobolev $L_{p}^{2}$ -functions on closed subsets of $R^{2}$

Pavel Shvartsman

For each $p > 2$ we give intrinsic characterizations of the restriction of the homogeneous Sobolev space $L_{p}^{1} (R^{2})$ to an arbitrary finite subset $E$ of $R^{2}$ . The trace criterion…

On The Sum Of A Sobolev Space And A Weighted LP​-Space

Sobolev Lp2​-functions on closed subsets of R2

On The Sum Of A Sobolev Space And A Weighted $L_{P}$ -Space

Sobolev $L_{p}^{2}$ -functions on closed subsets of $R^{2}$