|
|
|
|
2024 |
1. |
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Criteria for $C^m$-approximability of functions by solutions of homogeneous second-order elliptic equations on compact subsets of $\mathbb{R}^N$ and related capacities”, Russian Math. Surveys, 79:5 (2024), 847–917 |
2. |
J. J. Carmona, K. Fedorovskiy, Carathéodory sets in the plane, Memoirs of the European Mathematical Society, 14, EMS Press, Berlin, 2024 |
3. |
A. Bagapsh, K. Fedorovskiy, M. Mazalov, “On Dirichlet problem and uniform approximation by solutions of second-order elliptic systems in $\mathbb R^2$”, Journal of Mathematical Analysis and Applications, 531 (2024), 127896 , 26 pp. |
|
2023 |
4. |
P. V. Paramonov, K. Yu. Fedorovskiy, “Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities”, Sb. Math., 214:4 (2023), 550–566 |
5. |
K. Fedorovskiy, “Nevanlinna domains and uniform approximation by polyanalytic polynomial modules”, Functions Spaces, Theory and Applications, Fields Institute Communications, 87, eds. I. Binder, D. Kinzebulatov, J. Mashreghi, Springer, 2023, 207–227 (to appear) |
6. |
K. Fedorovskiy, “Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in $\mathbb R^2$”, Lobachevskii Journal of Mathematics, 44:4 (2023), 1299–1310 |
|
2022 |
7. |
A. O. Bagapsh, M. Ya. Mazalov, K. Yu. Fedorovskiy, “On the Dirichlet problem for not strongly elliptic second-order equations”, Russian Math. Surveys, 77:2 (2022), 372–374 |
8. |
A. O. Bagapsh, K. Yu. Fedorovskiy, “On energy functionals for second order elliptic systems with constant coefficients”, Ufa Math. J., 14:4 (2022), 14–25 |
|
2021 |
9. |
E. Abakumov, A. Borichev, K. Fedorovskiy, “Chui conjecture in Bergman spaces”, Math. Ann., 379:3-4 (2021), 1507–1532 |
|
2020 |
10. |
P. V. Paramonov, K. Yu. Fedorovskiy, “On $C^m$-reflection of harmonic functions and $C^m$-approximation by harmonic polynomials”, Sb. Math., 211:8 (2020), 1159–1170 |
11. |
E. V. Borovik, K. Yu. Fedorovskiy, “On $\mathrm{Lip}(\omega)$-continuity of the operator of harmonic reflection over boundaries of simple Carathėodory domains”, J. Math. Sci. (N.Y.), 251:2 (2020), 200–206 ; E. V. Borovik, K. Yu. Fedorovskii, “O $\mathrm{Lip}(\omega)$-nepreryvnosti operatora garmonicheskogo otrazheniya otnositelno granits prostykh oblastei Karateodori”, Issledovaniya po lineinym operatoram i teorii funktsii. 47, Zap. nauchn. sem. POMI, 480, POMI, SPb., 2019, 62–72 |
|
2019 |
12. |
Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy, “Nevanlinna domains with large boundaries”, J. Funct. Anal., 277 (2019), 2617–2643 |
13. |
Konstantin Fedorovskiy, Petr Paramonov, “On $\mathop{\mathit{Lip}}^m$-reflection of harmonic functions over boundaries of simple Carathéodory domains”, Anal. Math. Phys., 9:3 (2019), 1031–1042 |
|
2018 |
14. |
Yu. S. Belov, K. Yu. Fedorovskiy, “Model spaces containing univalent functions”, Russian Math. Surveys, 73:1 (2018), 172–174 |
15. |
K. Yu. Fedorovskiy, “Two problems on approximation by solutions of elliptic systems on compact sets in the plane”, Complex Var. Elliptic Equ., 63:7–8 (2018), 961–975 |
16. |
A. O. Bagapsh, K. Yu. Fedorovskiy, “$C^m$ Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane”, Proc. Steklov Inst. Math., 301 (2018), 1–10 |
17. |
K. Yu. Fedorovskiy, “Carathéodory sets and analytic balayage of measures”, Sb. Math., 209:9 (2018), 1376–1389 |
18. |
A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144 |
19. |
Evgeny Abakumov, Konstantin Fedorovskiy, “Analytic balayage of measures, Carathėodory domains, and badly approximable functions in $L^p$”, C.R. Acad. Sci. Paris, Ser.I, 356 (2018), 870–874 |
|
2017 |
20. |
A. O. Bagapsh, K. Yu. Fedorovskiy, “$C^1$ Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in $\mathbb R^2$”, Proc. Steklov Inst. Math., 298 (2017), 35–50 |
21. |
A. D. Baranov, K. Yu. Fedorovskiy, “On $L^1$-estimates of derivatives of univalent rational functions”, J. Anal. Math., 132 (2017), 63–80 |
|
2016 |
22. |
K. Yu. Fedorovskiy, “On the density of certain modules of polyanalytic type in spaces of integrable functions on the boundaries of simply connected domains”, Sb. Math., 207:1 (2016), 140–154 |
23. |
E. V. Borovik, K. Yu. Fedorovskiy, “On the Relationship Between Nevanlinna and Quadrature Domains”, Math. Notes, 99:3 (2016), 460–464 |
24. |
A. D. Baranov, J. J. Carmona, K. Yu. Fedorovskiy, “Density of certain polynomial modules”, J. Approx. Theory, 206 (2016), 1–16 |
25. |
K. Yu. Fedorovskii, Approksimatsiya polianaliticheskimi mnogochlenami, IPM im. M. V. Keldysha, M., 2016 , 197 pp. |
|
2015 |
26. |
K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174 |
|
2016 |
27. |
P. V. Paramonov, K. Yu. Fedorovskiy, “Tverberg's proof of the Jordan closed curve theorem”, St. Petersburg Math. J., 27:5 (2016), 851–860 |
|
2013 |
28. |
K. Yu. Fedorovskiy, “On $\mathcal C^m$-approximability of functions by polynomial solutions of elliptic equations on compact plane sets”, St. Petersburg Math. J., 24:4 (2013), 677–689 |
|
2012 |
29. |
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Conditions for $C^m$-approximability of functions by solutions of elliptic equations”, Russian Math. Surveys, 67:6 (2012), 1023–1068 |
30. |
Proc. Steklov Inst. Math., 279 (2012), 215–229 |
31. |
K. Yu. Fedorovskiy, “Uniform and $C^m$-approximation by polyanalytic polynomials”, Complex Analysis and Potential Theory, CRM Proceedings and Lecture Notes, 55, Amer. Math. Soc., Providence, RI, 2012, 323–329 |
32. |
K. Yu. Fedorovskii, “O ravnomernoi approksimatsii funktsii na ploskikh kompaktakh resheniyami odnorodnykh ellipticheskikh uravnenii”, Vestnik MGTU im. N. E. Baumana. Seriya Estestvennye nauki, 2012, no. 3, 3–15 |
|
2011 |
33. |
A. D. Baranov, K. Yu. Fedorovskiy, “Boundary regularity of Nevanlinna domains and univalent functions in model subspaces”, Sb. Math., 202:12 (2011), 1723–1740 |
34. |
K. Yu. Fedorovskiy, “$C^m$-approximation by polyanalytic polynomials on compact subsets of the complex plane”, Complex Anal. Oper. Theory, 5:3 (2011), 671–681 |
|
2009 |
35. |
K. Yu. Fedorovskiy, “Nevanlinna domains in problems of polyanalytic polynomial approximation”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 131–142 |
36. |
K. Yu. Fedorovskiy, “Uniform approximation problems”, Uzbek. Mat. Zh., 2009, no. 1, 33–44 |
|
2008 |
37. |
J. J. Carmona, K. Yu. Fedorovskiy, “On the Dependence of Uniform Polyanalytic Polynomial Approximations on the Order of Polyanalyticity”, Math. Notes, 83:1 (2008), 31–36 |
|