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Tyulenev Alexander Ivanovich

Publications


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   2023
1. Teoriya funktsii mnogikh deistvitelnykh peremennykh i ee prilozheniya, Sbornik statei. K 90-letiyu chlena-korrespondenta RAN Olega Vladimirovicha Besova, Trudy MIAN, 323, ed. B. S. Kashin, A. I. Tyulenev, MIAN, M., 2023 , 306 pp.  mathnet
2. V. I. Burenkov, T. V. Tararykova, A. I. Tyulenev, “International conference “Theory of functions of several real variables” dedicated to the 90th birthday of professor O.V. Besov. Information letter”, Eurasian Math. J., 14:1 (2023), 96–98  mathnet  mathscinet;
3. A. I. Tyulenev, “Traces of Sobolev spaces to irregular subsets of metric measure spaces”, Sb. Math., 214:9 (2023), 1241–1320  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
4. A. I. Tyulenev, “Traces of Sobolev Spaces on Piecewise Ahlfors–David Regular Sets”, Math. Notes, 114:3 (2023), 351–376  mathnet  crossref  crossref  mathscinet  scopus

   2022
5. Alexander I. Tyulenev, “Restrictions of Sobolev $W_p^1(\mathbb R^2)$-spaces to planar rectifiable curves”, Ann. Fenn. Math., 47:1 (2022), 507–531 , arXiv: 2010.05286  mathnet  crossref  mathscinet  scopus;
6. A. I. Tyulenev, “Nekotorye svoistva mnozhestv tipa poristosti, svyazannye s $d$-obkhvatom po Khausdorfu”, Teoriya priblizhenii, funktsionalnyi analiz i prilozheniya, Sbornik statei. K 70-letiyu akademika Borisa Sergeevicha Kashina, Trudy MIAN, 319, MIAN, M., 2022, 298–323 , arXiv: 2101.03556  mathnet  crossref  mathscinet

   2021
7. Funktsionalnye prostranstva, teoriya priblizhenii i smezhnye voprosy analiza, Sbornik statei. K 115-letiyu so dnya rozhdeniya akademika Sergeya Mikhailovicha Nikolskogo, Trudy MIAN, 312, ed. O. V. Besov, A. I. Tyulenev, MIAN, M., 2021 , 338 pp.  mathnet
8. Nicola Gigli, Alexander Tyulenev, “Korevaar–Schoen's directional energy and Ambrosio's regular Lagrangian flows”, Math. Z., 298 (2021), 1221–1261 , arXiv: 1901.03564  mathnet  crossref  mathscinet  isi  scopus;
9. A. I. Tyulenev, Almost sharp descriptions of traces of Sobolev $W_{p}^{1}(\mathbb{R}^{n})$-spaces to arbitrary compact subsets of $\mathbb{R}^{n}$. The case $p \in (1,n]$, 2021 , 60 pp., arXiv: 2109.07553v3
10. Nicola Gigli, Alexander Tyulenev, “Korevaar–Schoen's energy on strongly rectifiable spaces”, Calc. Var. Partial Differential Equations, 60 (2021), 235 , 54 pp., arXiv: 2002.07440  mathnet  crossref  isi  scopus;
11. A. I. Tyulenev, “Almost Sharp Descriptions of Traces of Sobolev Spaces on Compacta”, Math. Notes, 110:6 (2021), 976–980  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2020
12. S. K. Vodopyanov, A. I. Tyulenev, “Sobolev $W^1_p$-spaces on $d$-thick closed subsets of $\mathbb R^n$”, Sb. Math., 211:6 (2020), 786–837  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2017
13. A. I. Tyulenev, “On various approaches to Besov-type spaces of variable smoothness”, J. Math. Anal. Appl., 451:1 (2017), 371–392  mathnet  crossref  mathscinet  isi  elib  scopus
14. A. I. Tyulenev, S. K. Vodop'yanov, “On the Whitney Problem for Weighted Sobolev Spaces”, Dokl. Math., 95:1 (2017), 79–83  mathnet  crossref  crossref  mathscinet  isi  elib  scopus  scopus

   2016
15. A. I. Tyulenev, “Besov-type spaces of variable smoothness on rough domains”, Nonlinear Anal., 145 (2016), 176–198  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2015
16. A. I. Tyulenev, “Some new function spaces of variable smoothness”, Sb. Math., 206:6 (2015), 849–891  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
17. A. I. Tyulenev, “Traces of weighted Sobolev spaces with Muckenhoupt weight. The case $p=1$”, Nonlinear Anal., 128 (2015), 248–272  mathnet  crossref  mathscinet  isi  elib  scopus

   2014
18. A. I. Tyulenev, “Description of Traces of Functions in the Sobolev Space with a Muckenhoupt Weight”, Proc. Steklov Inst. Math., 284 (2014), 280–295  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
19. A. I. Tyulenev, “Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains”, Sb. Math., 205:8 (2014), 1133–1159  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
20. A. I. Tyulenev, “Boundary values of functions from Sobolev spaces with Mockenhaupt weight on non-Lipschitz domains”, Dokl. Math., 89:3 (2014), 338–342  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
21. A. I. Tyulenev, Granichnye znacheniya vesovykh prostranstv Soboleva, Dis. … kand. fiz.-matem. nauk, M., 2014  elib

   2013
22. A. I. Tjulenev, “The Problem of Traces for Sobolev Spaces with Muckenhoupt-Type Weights”, Math. Notes, 94:5 (2013), 668–680  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
23. A. I. Tjulenev, “Differentiability Points of Functions in Weighted Sobolev Spaces”, Proc. Steklov Inst. Math., 283 (2013), 250–259  mathnet  crossref  crossref  mathscinet  zmath  isi  elib

   2011
24. A. I. Tyulenev, “Kharakterizatsiya sledov vesovykh prostranstv Soboleva”, Trudy MFTI, 3:1 (2011), 141–145 http://mipt.ru/science/trudy/trudy-9/TRUDU-sborka-9-arphcxl1tgs.pdf  elib
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© Steklov Math. Inst. of RAS, 2025