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Romanov, Aleksandr Sergeevich
Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30
Presentations: 1

Number of views:
This page:2415
Abstract pages:6662
Full texts:2455
References:831
Associate professor
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person20853
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/205066
https://orcid.org/0000-0001-7906-3933

Publications in Math-Net.Ru Citations
2023
1. A. S. Romanov, “Metric space mappings connected with Sobolev-type function classes”, Sibirsk. Mat. Zh., 64:4 (2023),  794–814  mathnet
2022
2. A. S. Romanov, “On the continuity of Sobolev-type functions on homogeneous metric spaces”, Sib. Èlektron. Mat. Izv., 19:2 (2022),  460–483  mathnet 1
2021
3. A. S. Romanov, “Extremality of $p$-harmonic functions in $R^2$”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  1015–1022  mathnet
4. A. S. Romanov, “Properties of extremal functions for $p$-capacity in $R^2$”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  845–866  mathnet
5. A. S. Romanov, “On the isomorphism of Sobolev-type classes on metric spaces”, Sibirsk. Mat. Zh., 62:4 (2021),  864–877  mathnet  elib; Siberian Math. J., 62:4 (2021), 707–718  isi  scopus 2
2020
6. A. S. Romanov, “Sobolev-type functions on nonhomogeneous metric spaces”, Sib. Èlektron. Mat. Izv., 17 (2020),  690–699  mathnet  isi
2019
7. A. S. Romanov, “Mappings related to extremal functions for $p$-capacity”, Sib. Èlektron. Mat. Izv., 16 (2019),  1295–1311  mathnet 2
2018
8. A. S. Romanov, “On continuity of functions with generalized derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11,  82–85  mathnet; Russian Math. (Iz. VUZ), 62:11 (2018), 72–75  isi  scopus
9. A. S. Romanov, “On the equivalence of domains in the theory of Sobolev spaces with variable exponents”, Sib. Èlektron. Mat. Izv., 15 (2018),  1024–1039  mathnet 1
2017
10. A. S. Romanov, “Classes of Sobolev type on quasimetric spaces”, Sib. Èlektron. Mat. Izv., 14 (2017),  1447–1455  mathnet
11. A. S. Romanov, “The composition operators in Sobolev spaces with variable exponent of summability”, Sib. Èlektron. Mat. Izv., 14 (2017),  794–806  mathnet 1
12. A. S. Romanov, “Absolute continuity of functions in Sobolev spaces and modules of families of hypersurfaces elated to the Lorentz spaces”, Sib. J. Pure and Appl. Math., 17:2 (2017),  82–98  mathnet; J. Math. Sci., 231:2 (2018), 255–266
2016
13. A. S. Romanov, “The Holder continuity of Sobolev functions on the hypersurfaces”, Sib. Èlektron. Mat. Izv., 13 (2016),  624–634  mathnet 3
2015
14. A. S. Romanov, “The continuity of Sobolev functions on the hyperplanes”, Sib. Èlektron. Mat. Izv., 12 (2015),  832–841  mathnet 3
2014
15. A. S. Romanov, “Sobolev-type functions with variable integrability exponent on metric measure spaces”, Sibirsk. Mat. Zh., 55:1 (2014),  178–194  mathnet  mathscinet; Siberian Math. J., 55:1 (2014), 142–155  isi  scopus 3
2012
16. A. S. Romanov, “A remark on the properties of nonlinear capacity in $\mathbb R^3$”, Sibirsk. Mat. Zh., 53:4 (2012),  911–919  mathnet  mathscinet; Siberian Math. J., 53:4 (2012), 732–738  isi  scopus 1
2011
17. A. S. Romanov, “On the traces of Sobolev functions on the boundary of an anisotropic cusp”, Sibirsk. Mat. Zh., 52:5 (2011),  1150–1158  mathnet  mathscinet; Siberian Math. J., 52:5 (2011), 914–920  isi  scopus 1
2008
18. A. S. Romanov, “Absolute continuity of the Sobolev type functions on metric spaces”, Sibirsk. Mat. Zh., 49:5 (2008),  1147–1156  mathnet  mathscinet; Siberian Math. J., 49:5 (2008), 911–918  isi  scopus 15
19. A. S. Romanov, “Capacity relations in a flat quadrilateral”, Sibirsk. Mat. Zh., 49:4 (2008),  886–897  mathnet  mathscinet  zmath; Siberian Math. J., 49:4 (2008), 709–717  isi  scopus 14
2007
20. A. S. Romanov, “Traces of functions of generalized Sobolev classes”, Sibirsk. Mat. Zh., 48:4 (2007),  848–866  mathnet  mathscinet  zmath; Siberian Math. J., 48:4 (2007), 678–693  isi  scopus 11
21. A. S. Romanov, “On the traces of Sobolev functions on the boundary of a cusp with a Hölder singularity”, Sibirsk. Mat. Zh., 48:1 (2007),  176–184  mathnet  mathscinet  zmath; Siberian Math. J., 48:1 (2007), 142–149  isi  scopus 4
2004
22. A. S. Romanov, “On embeddings for classes of functions with generalized smoothness on metric spaces”, Sibirsk. Mat. Zh., 45:4 (2004),  871–880  mathnet  mathscinet  zmath; Siberian Math. J., 45:4 (2004), 722–729  isi 4
23. A. S. Romanov, “Embedding theorems for a certain function class of Sobolev type on metric spaces”, Sibirsk. Mat. Zh., 45:2 (2004),  452–465  mathnet  mathscinet  zmath; Siberian Math. J., 45:2 (2004), 376–387  isi 5
2003
24. A. S. Romanov, “Singular measures and $(1,p)$-capacity on weighted Sobolev classes”, Sibirsk. Mat. Zh., 44:2 (2003),  433–437  mathnet  mathscinet  zmath; Siberian Math. J., 44:2 (2003), 346–349  isi
1999
25. A. S. Romanov, “On embedding theorems for generalized Sobolev spaces”, Sibirsk. Mat. Zh., 40:4 (1999),  931–937  mathnet  mathscinet  zmath; Siberian Math. J., 40:4 (1999), 787–792  isi 9
1998
26. A. S. Romanov, “On a generalization of Sobolev spaces”, Sibirsk. Mat. Zh., 39:4 (1998),  949–953  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 821–824  isi 6
1993
27. A. S. Romanov, “On extension of functions of Sobolev spaces”, Sibirsk. Mat. Zh., 34:4 (1993),  149–152  mathnet  mathscinet  zmath; Siberian Math. J., 34:4 (1993), 723–726  isi 3
1989
28. A. S. Romanov, “A capacity analogue for the Lebesgue theorem on the differentiation of an integral”, Dokl. Akad. Nauk SSSR, 304:4 (1989),  803–806  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 156–159
1984
29. V. M. Gol'dstein, A. S. Romanov, “Mappings preserving Sobolev spaces”, Sibirsk. Mat. Zh., 25:3 (1984),  55–61  mathnet  mathscinet  zmath; Siberian Math. J., 25:3 (1984), 382–388  isi 11
1980
30. A. S. Romanov, “Lattice operators in $L_p$ spaces”, Sibirsk. Mat. Zh., 21:1 (1980),  220–223  mathnet  mathscinet  zmath 2
2006
31. V. A. Aleksandrov, A. A. Borisenko, Yu. F. Borisov, Yu. D. Burago, V. V. Vershinin, E. P. Volokitin, L. I. Kononenko, S. S. Kutateladze, Yu. G. Reshetnyak, E. D. Rodionov, A. S. Romanov, S. A. Treskov, V. A. Sharafutdinov, “Viktor Andreevich Toponogov (obituary)”, Uspekhi Mat. Nauk, 61:2(368) (2006),  153–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:2 (2006), 341–345  isi 2

Presentations in Math-Net.Ru
1. On the traces of Sobolev functions on the hypersurfaces
A. S. Romanov
International Conference "Geometric Analysis and Control Theory"
December 12, 2016 14:10   

Organisations
 
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