Whitney’s extension problem for multivariate 𝐶^{1, 𝜔}-functions Y Brudnyi, P Shvartsman Transactions of the American Mathematical Society 353 (6), 2487-2512, 2001 | 110 | 2001 |
Generalizations of Whitney's extension theorem Y Brudnyi, P Shvartsman International Mathematics Research Notices 1994 (3), 129-139, 1994 | 99 | 1994 |
The Whitney problem of existence of a linear extension operator Y Brudnyi, P Shvartsman The Journal of Geometric Analysis 7, 515-574, 1997 | 86 | 1997 |
Lipschitz selections of set-valued mappings and Helly’s theorem P Shvartsman The Journal of Geometric Analysis 12, 289-324, 2002 | 59 | 2002 |
A linear extension operator for a space of smooth functions defined on a closed subset in YA Brudnyi, PA Shvartsman Doklady Akademii Nauk 280 (2), 268-272, 1985 | 58 | 1985 |
On Sobolev extension domains in Rn P Shvartsman Journal of Functional Analysis 258 (7), 2205-2245, 2010 | 52 | 2010 |
Sobolev Wp1-spaces on closed subsets of Rn P Shvartsman Advances in Mathematics 220 (6), 1842-1922, 2009 | 49 | 2009 |
Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝn P Shvartsman Mathematische Nachrichten 279 (11), 1212-1241, 2006 | 49 | 2006 |
Traces of functions of Zygmund class PA Shvartsman Siberian Mathematical Journal 28 (5), 853-863, 1987 | 48 | 1987 |
Lipschitz selections of multivalued mappings and traces of the Zygmund class of functions to an arbitrary compact P Shvartsman, P Shvartsman Dokl. Acad. Nauk SSSR 276, 559-562, 1984 | 48* | 1984 |
On extensions of Sobolev functions defined on regular subsets of metric measure spaces P Shvartsman arXiv preprint math/0601679, 2006 | 45 | 2006 |
Barycentric selectors and a Steiner-type point of a convex body in a Banach space P Shvartsman Journal of Functional Analysis 210 (1), 1-42, 2004 | 41 | 2004 |
The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces P Shvartsman Transactions of the American Mathematical Society 360 (10), 5529-5550, 2008 | 40 | 2008 |
Sobolev Lp2-functions on closed subsets of R2 P Shvartsman Advances in Mathematics 252, 22-113, 2014 | 30 | 2014 |
A new look at the John–Nirenberg and John–Strömberg theorems for BMO M Cwikel, Y Sagher, P Shvartsman Journal of Functional Analysis 263 (1), 129-166, 2012 | 27 | 2012 |
On traces of functions of Zygmund classes, Sibirskyi Mathem. J. 28 N5 (1987), 203-215 P Shvartsman English transl. in Siberian Math. J 28, 853-863, 1987 | 26 | 1987 |
On Lipschitz selections of affine-set valued mappings P Shvartsman Geometric & Functional Analysis GAFA 11 (4), 840-868, 2001 | 23 | 2001 |
Sharp finiteness principles for Lipschitz selections C Fefferman, P Shvartsman Geometric and Functional Analysis 28 (6), 1641-1705, 2018 | 21 | 2018 |
Lipshitz selections of multivalued mappings and traces of the Zygmund class of functions to an arbitrary compact, Dokl. Acad. Nauk SSSR 276 (1984), 559-562 P Shvartsman English transl. in Soviet Math. Dokl 29, 565-568, 1984 | 21 | 1984 |
Whitney-type extension theorems for jets generated by Sobolev functions P Shvartsman Advances in Mathematics 313, 379-469, 2017 | 20 | 2017 |