Romanov Aleksandr Sergeevich

Publications in Math-Net.Ru

1. Modules of a system of surfaces, vector fields, capacity, differential forms
   
   Sib. Èlektron. Mat. Izv., 21:1 (2024),  196–212
2. Metric space mappings connected with Sobolev-type function classes
   
   Sibirsk. Mat. Zh., 64:4 (2023),  794–814
3. On the continuity of Sobolev-type functions on homogeneous metric spaces
   
   Sib. Èlektron. Mat. Izv., 19:2 (2022),  460–483
4. Extremality of $p$-harmonic functions in $R^2$
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1015–1022
5. Properties of extremal functions for $p$-capacity in $R^2$
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  845–866
6. On the isomorphism of Sobolev-type classes on metric spaces
   
   Sibirsk. Mat. Zh., 62:4 (2021),  864–877
7. Sobolev-type functions on nonhomogeneous metric spaces
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  690–699
8. Mappings related to extremal functions for $p$-capacity
   
   Sib. Èlektron. Mat. Izv., 16 (2019),  1295–1311
9. On continuity of functions with generalized derivatives
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11,  82–85
10. On the equivalence of domains in the theory of Sobolev spaces with variable exponents
    
    Sib. Èlektron. Mat. Izv., 15 (2018),  1024–1039
11. Classes of Sobolev type on quasimetric spaces
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  1447–1455
12. The composition operators in Sobolev spaces with variable exponent of summability
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  794–806
13. 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
14. The Holder continuity of Sobolev functions on the hypersurfaces
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  624–634
15. The continuity of Sobolev functions on the hyperplanes
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  832–841
16. Sobolev-type functions with variable integrability exponent on metric measure spaces
    
    Sibirsk. Mat. Zh., 55:1 (2014),  178–194
17. A remark on the properties of nonlinear capacity in $\mathbb R^3$
    
    Sibirsk. Mat. Zh., 53:4 (2012),  911–919
18. On the traces of Sobolev functions on the boundary of an anisotropic cusp
    
    Sibirsk. Mat. Zh., 52:5 (2011),  1150–1158
19. Absolute continuity of the Sobolev type functions on metric spaces
    
    Sibirsk. Mat. Zh., 49:5 (2008),  1147–1156
20. Capacity relations in a flat quadrilateral
    
    Sibirsk. Mat. Zh., 49:4 (2008),  886–897
21. Traces of functions of generalized Sobolev classes
    
    Sibirsk. Mat. Zh., 48:4 (2007),  848–866
22. On the traces of Sobolev functions on the boundary of a cusp with a Hцlder singularity
    
    Sibirsk. Mat. Zh., 48:1 (2007),  176–184
23. On embeddings for classes of functions with generalized smoothness on metric spaces
    
    Sibirsk. Mat. Zh., 45:4 (2004),  871–880
24. Embedding theorems for a certain function class of Sobolev type on metric spaces
    
    Sibirsk. Mat. Zh., 45:2 (2004),  452–465
25. Singular measures and $(1,p)$-capacity on weighted Sobolev classes
    
    Sibirsk. Mat. Zh., 44:2 (2003),  433–437
26. On embedding theorems for generalized Sobolev spaces
    
    Sibirsk. Mat. Zh., 40:4 (1999),  931–937
27. On a generalization of Sobolev spaces
    
    Sibirsk. Mat. Zh., 39:4 (1998),  949–953
28. On extension of functions of Sobolev spaces
    
    Sibirsk. Mat. Zh., 34:4 (1993),  149–152
29. A capacity analogue for the Lebesgue theorem on the differentiation of an integral
    
    Dokl. Akad. Nauk SSSR, 304:4 (1989),  803–806
30. Mappings preserving Sobolev spaces
    
    Sibirsk. Mat. Zh., 25:3 (1984),  55–61
31. Lattice operators in $L_p$ spaces
    
    Sibirsk. Mat. Zh., 21:1 (1980),  220–223


32. Viktor Andreevich Toponogov (obituary)
    
    Uspekhi Mat. Nauk, 61:2(368) (2006),  153–156