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 2006Show all

3 papers · 1 filter

math.FA2006★ 2 cited

The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces

Pavel Shvartsman

We study a variant of the Whitney extension problem for the space $C^{k, ω} (R^{n})$ . We identify this space with a space of Lipschitz mappings from $R^{n}$ into the space $P_k \times R^…

math.FA2006★ 3 cited

Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^{n}$

Pavel Shvartsman

We give an intrinsic characterization of the restrictions of Sobolev, Triebel-Lizorkin and Besov spaces to regular subsets of $R^{n}$ via sharp maximal functions and local approximat…

math.FA2006

On extensions of Sobolev functions defined on regular subsets of metric measure spaces

Pavel Shvartsman

We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension ope…

The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces

Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of Rn

On extensions of Sobolev functions defined on regular subsets of metric measure spaces

Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^{n}$