Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Shlyk, Vladimir Alekseevich
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person18836
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/207139
https://elibrary.ru/author_items.asp?authorid=7656

Publications in Math-Net.Ru Citations
2025
1. Yu. V. Dymchenko, V. A. Shlyk, “Removable sets for the Newtonian spaces $N^{1,p}$”, Algebra i Analiz, 37:3 (2025),  90–137  mathnet
2022
2. V. A. Shlyk, “On one Dubinin problem for the weight capacitance of a Hesse condenser with $A_1$-Mackenhaupt weight”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 206 (2022),  138–145  mathnet
3. Yu. V. Dymchenko, V. A. Shlyk, “Capacities of generalized condensers with $A_1$-Muckenhoupt weight”, Sib. Èlektron. Mat. Izv., 19:1 (2022),  164–186  mathnet  mathscinet
2021
4. V. A. Shlyk, “Removable sets for Sobolev spaces with Muckenhoupt $A_1$-weight”, Sib. Èlektron. Mat. Izv., 18:1 (2021),  136–159  mathnet  isi 1
2020
5. I. M. Tarasova, V. A. Shlyk, “Weighted Sobolev spaces, capacities and exceptional sets”, Sib. Èlektron. Mat. Izv., 17 (2020),  1552–1570  mathnet  isi 2
2019
6. Yu. V. Dymchenko, V. A. Shlyk, “Generalized condensers and vector measures”, Sib. Èlektron. Mat. Izv., 16 (2019),  683–691  mathnet
7. V. A. Shlyk, “Criteria of removable sets for harmonic functions in the Sobolev spaces $\mathbf{L^1_{p,w}}$”, Mathematical Physics and Computer Simulation, 22:2 (2019),  51–64  mathnet
2018
8. Yu. V. Dymchenko, V. A. Shlyk, “On a Problem of Dubinin for the Capacity of a Condenser with a Finite Number of Plates”, Mat. Zametki, 103:6 (2018),  841–852  mathnet  mathscinet  elib; Math. Notes, 103:6 (2018), 901–910  isi  scopus 4
2017
9. P. A. Pugach, V. A. Shlyk, “Weighted modules and capacities on a Riemann surface”, Zap. Nauchn. Sem. POMI, 458 (2017),  164–217  mathnet; J. Math. Sci. (N. Y.), 234:5 (2018), 701–736 1
10. Yu. V. Dymchenko, V. A. Shlyk, “Modules of families of vector measures on a Riemann surface”, Zap. Nauchn. Sem. POMI, 458 (2017),  31–41  mathnet; J. Math. Sci. (N. Y.), 234:5 (2018), 608–615
2016
11. V. A. Shlyk, A. A. Yakovlev, “Modules of space configuration and removable sets”, Zap. Nauchn. Sem. POMI, 449 (2016),  275–288  mathnet  mathscinet; J. Math. Sci. (N. Y.), 225:6 (2017), 1022–1031  scopus 1
12. P. A. Pugach, V. A. Shlyk, “Сondensers and equivalent open sets on a Riemann surface”, Zap. Nauchn. Sem. POMI, 449 (2016),  235–260  mathnet  mathscinet; J. Math. Sci. (N. Y.), 225:6 (2017), 994–1011  scopus 1
2015
13. I. N. Demshin, V. A. Shlyk, “A configuration module and removable sets”, Zap. Nauchn. Sem. POMI, 440 (2015),  36–42  mathnet  mathscinet; J. Math. Sci. (N. Y.), 217:1 (2016), 23–27  scopus
2014
14. V. A. Shlyk, “On the weighted equivalence of open sets in $R^n$”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2014, no. 4(23),  47–52  mathnet
15. V. A. Shlyk, “Оn the problem of decomposition and composition of normal rings”, Zap. Nauchn. Sem. POMI, 429 (2014),  202–209  mathnet; J. Math. Sci. (N. Y.), 207:6 (2015), 940–944  scopus
2013
16. P. A. Pugach, V. A. Shlyk, “Piecewise linear approximation and polyhedral surfaces”, Zap. Nauchn. Sem. POMI, 418 (2013),  172–183  mathnet; J. Math. Sci. (N. Y.), 200:5 (2014), 617–623  scopus 1
2012
17. V. A. Shlyk, “The spherical symmetrization and NED-sets on a hyperplane”, Zap. Nauchn. Sem. POMI, 404 (2012),  248–258  mathnet  mathscinet; J. Math. Sci. (N. Y.), 193:1 (2013), 145–150  scopus 1
18. Yu. V. Dymchenko, V. A. Shlyk, “Generalized capacities, compound curves and removable sets”, Zap. Nauchn. Sem. POMI, 404 (2012),  100–119  mathnet  mathscinet; J. Math. Sci. (N. Y.), 193:1 (2013), 55–65  scopus 1
2011
19. Yu. V. Dymchenko, V. A. Shlyk, “Sufficiency of Polyhedral Surfaces in the Modulus Method and Removable Sets”, Mat. Zametki, 90:2 (2011),  216–230  mathnet  mathscinet; Math. Notes, 90:2 (2011), 204–217  isi  scopus 2
20. P. A. Pugach, V. A. Shlyk, “Removable sets for the generalized module of surface's family”, Zap. Nauchn. Sem. POMI, 392 (2011),  163–190  mathnet; J. Math. Sci. (N. Y.), 184:6 (2012), 755–769  scopus 1
21. Yu. V. Dymchenko, V. A. Shlyk, “Some properties of the capacity and module of a polycondenser and removable sets”, Zap. Nauchn. Sem. POMI, 392 (2011),  84–94  mathnet; J. Math. Sci. (N. Y.), 184:6 (2012), 709–715  scopus 3
2010
22. Yu. V. Dymchenko, V. A. Shlyk, “Sufficiency of broken lines in the modulus method and removable sets”, Sibirsk. Mat. Zh., 51:6 (2010),  1298–1315  mathnet  mathscinet; Siberian Math. J., 51:6 (2010), 1028–1042  isi  scopus 12
23. P. A. Pugach, V. A. Shlyk, “Generalized capacities and polyhedral surfaces”, Zap. Nauchn. Sem. POMI, 383 (2010),  148–178  mathnet; J. Math. Sci. (N. Y.), 178:2 (2011), 201–218  scopus 4
24. F. I. Ivanov, V. A. Shlyk, “Null-sets for the extremal lengths”, Zap. Nauchn. Sem. POMI, 383 (2010),  86–96  mathnet; J. Math. Sci. (N. Y.), 178:2 (2011), 163–169  scopus 1
2009
25. Yu. V. Dymchenko, V. A. Shlyk, “Capacity of polycondensor and the module of the family of vector measure”, Zap. Nauchn. Sem. POMI, 371 (2009),  56–68  mathnet; J. Math. Sci. (N. Y.), 166:2 (2010), 155–161  scopus 1
2008
26. V. N. Dubinin, D. B. Karp, V. A. Shlyk, “Selected problems of geometrical theory of functions and potential theory”, Dal'nevost. Mat. Zh., 8:1 (2008),  46–95  mathnet  elib 2
27. Yu. V. Dymchenko, V. A. Shlyk, “Geometric criteria for removable sets”, Zap. Nauchn. Sem. POMI, 357 (2008),  75–89  mathnet  zmath; J. Math. Sci. (N. Y.), 157:4 (2009), 584–591 2
28. I. N. Demshin, V. A. Shlyk, “On the invariance of compacts generating normal ring open sets under quasiisometries”, Zap. Nauchn. Sem. POMI, 357 (2008),  46–53  mathnet  zmath; J. Math. Sci. (N. Y.), 157:4 (2009), 568–572 1
2007
29. I. N. Demshin, V. A. Shlyk, “Metric characteristics of normal in Grotzsch's sense ring's domains with radial slits in space”, Zap. Nauchn. Sem. POMI, 350 (2007),  17–25  mathnet; J. Math. Sci. (N. Y.), 150:3 (2008), 2013–2017  scopus 2
2006
30. V. A. Shlyk, A. S. Gulyaev, “On canonical mappings onto circular domains with radial slits”, Zap. Nauchn. Sem. POMI, 337 (2006),  35–50  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:3 (2007), 3030–3038  scopus 2
2004
31. A. V. Tyutyuev, V. A. Shlyk, “The continuously removable sets for quasiconformal mappings”, Zap. Nauchn. Sem. POMI, 314 (2004),  213–220  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 133:6 (2006), 1728–1732  elib
2002
32. I. N. Demshin, V. A. Shlyk, “Criteria of the removable sets for the weighted spaces of garmonic functions”, Zap. Nauchn. Sem. POMI, 286 (2002),  62–73  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 122:6 (2004), 3616–3622 4
2001
33. I. N. Demshin, Yu. V. Dymchenko, V. A. Shlyk, “Null-sets criteria for weighed Sobolev spaces”, Zap. Nauchn. Sem. POMI, 276 (2001),  52–82  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:1 (2003), 4760–4777 12
1996
34. V. A. Shlyk, “On uniqueness of the extremal function for $p$-capacity of a condenser”, Zap. Nauchn. Sem. POMI, 226 (1996),  228–234  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:1 (1998), 1072–1077 1
1993
35. V. A. Shlyk, “Weighted capacities, moduli of condensers and Fuglede exceptional sets”, Dokl. Akad. Nauk, 332:4 (1993),  428–431  mathnet  mathscinet  zmath; Dokl. Math., 48:2 (1994), 353–358 4
36. V. A. Shlyk, “Normal domains and removable singularities”, Izv. RAN. Ser. Mat., 57:4 (1993),  92–117  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:1 (1994), 83–104  isi 4
37. V. A. Shlyk, “The equality between $p$-capacity and $p$-modulus”, Sibirsk. Mat. Zh., 34:6 (1993),  216–221  mathnet  mathscinet  zmath; Siberian Math. J., 34:6 (1993), 1196–1200  isi 82
1991
38. V. A. Shlik, “The metrical characteristics of $N_p$-compacts and removed singularities for $L_p^{(1)}$-space, $p\in(1,\infty)$”, Zap. Nauchn. Sem. LOMI, 196 (1991),  162–171  mathnet  mathscinet  zmath; J. Math. Sci., 70:6 (1994), 2167–2172
39. V. A. Shlik, “The condition of $\varepsilon$-clasping for $N$-compacts”, Zap. Nauchn. Sem. LOMI, 196 (1991),  154–161  mathnet  mathscinet  zmath; J. Math. Sci., 70:6 (1994), 2162–2166 3
1990
40. V. A. Shlyk, “Geometry of removable sets for the space $\mathrm{FD}^p$, $p\in(1,+\infty),$ and normal regions in the sense of Hedberg”, Dokl. Akad. Nauk SSSR, 312:3 (1990),  546–549  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 471–474 1
41. V. A. Shlyk, “The structure of compact sets generating normal domains and removable singularities for the space $L_p^1(D)$”, Mat. Sb., 181:11 (1990),  1558–1572  mathnet  mathscinet  zmath; Math. USSR-Sb., 71:2 (1992), 405–418  isi 4
42. V. A. Shlyk, “$NC_p$-sets of finite area”, Sibirsk. Mat. Zh., 31:5 (1990),  194–196  mathnet  mathscinet  zmath; Siberian Math. J., 31:5 (1990), 862–864  isi
43. V. A. Shlyk, “$K$-capacity and the Rado problem for mappings with bounded distortion”, Sibirsk. Mat. Zh., 31:1 (1990),  179–186  mathnet  mathscinet  zmath; Siberian Math. J., 31:1 (1990), 152–158  isi 1
44. V. A. Shlik, “The capacity of condenser and the module of the family of separating surfaces”, Zap. Nauchn. Sem. LOMI, 185 (1990),  168–182  mathnet  mathscinet  zmath; J. Soviet Math., 59:6 (1992), 1240–1248 15
1989
45. V. A. Shlyk, “$C_p$-capacity and normal domains”, Dokl. Akad. Nauk SSSR, 307:2 (1989),  297–299  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 86–89
46. V. A. Shlyk, “$K$-capacity and some of its applications in the theory of mappings with bounded distortion”, Dokl. Akad. Nauk SSSR, 306:6 (1989),  1308–1310  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 622–625
47. V. A. Shlyk, “The method of conjugate families in the theory of moduli”, Dokl. Akad. Nauk SSSR, 306:2 (1989),  297–300  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 499–502 1
1988
48. V. A. Shlyk, “Normal domains in the Grötzsch sense and topologically removable sets for space homeomorphisms”, Dokl. Akad. Nauk SSSR, 302:3 (1988),  553–555  mathnet  mathscinet  zmath 2
49. V. A. Shlyk, “On the theory of normal domains”, Zap. Nauchn. Sem. LOMI, 168 (1988),  180–186  mathnet  zmath 1
1986
50. V. A. Shlyk, “Generalized quadrangles, symmetrization and nonunivalent mappings”, Zap. Nauchn. Sem. LOMI, 154 (1986),  163–174  mathnet  zmath 1
1982
51. V. A. Shlyk, “A uniqueness theorem for the symmetrization of arbitrary capacitors”, Sibirsk. Mat. Zh., 23:2 (1982),  165–175  mathnet  mathscinet  zmath; Siberian Math. J., 23:2 (1982), 267–276  isi 4
1981
52. V. A. Shlyk, “Some estimates in an annulus for weakly univalent functions that omit values on a circle”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8,  85–86  mathnet  mathscinet  zmath 3
53. V. A. Shlyk, “Theory of nonunivalent mappings of multiply connected domains”, Zap. Nauchn. Sem. LOMI, 112 (1981),  184–197  mathnet  mathscinet  zmath; J. Soviet Math., 25:2 (1984), 1101–1111 1
1980
54. V. A. Shlyk, “Distortion theorems for a family of weakly univalent functions in the disk”, Mat. Zametki, 27:6 (1980),  927–933  mathnet  mathscinet  zmath; Math. Notes, 27:6 (1980), 446–449  isi 2
1989
55. V. A. Shlyk, “Erratum: “The method of conjugate families in the theory of moduli””, Dokl. Akad. Nauk SSSR, 309:1 (1989),  10  mathnet  mathscinet

Presentations in Math-Net.Ru
1. $1$-емкость и $1$-модуль конденсатора Хессе на римановой поверхности
Yu. V. Dymchenko, V. A. Shlyk
Complex Approximations, Orthogonal Polynomials and Applications
June 21, 2022 18:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025