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Fedorovskiy Konstantin Yurievich

Publications


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   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  mathnet  crossref  crossref  mathscinet
2. J. J. Carmona, K. Fedorovskiy, Carathéodory sets in the plane, Memoirs of the European Mathematical Society, 14, EMS Press, Berlin, 2024  crossref
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.  crossref  mathscinet  zmath

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
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)  crossref  mathscinet  zmath
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  crossref  mathscinet  zmath

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
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  mathnet  crossref  mathscinet

   2021
9. E. Abakumov, A. Borichev, K. Fedorovskiy, “Chui conjecture in Bergman spaces”, Math. Ann., 379:3-4 (2021), 1507–1532  crossref  mathscinet  isi  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  mathnet  crossref  mathscinet  scopus; 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  mathnet

   2019
12. Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy, “Nevanlinna domains with large boundaries”, J. Funct. Anal., 277 (2019), 2617–2643  crossref  mathscinet  zmath  isi  scopus
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  crossref  mathscinet  zmath  isi  scopus

   2018
14. Yu. S. Belov, K. Yu. Fedorovskiy, “Model spaces containing univalent functions”, Russian Math. Surveys, 73:1 (2018), 172–174  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  isi  scopus
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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
17. K. Yu. Fedorovskiy, “Carathéodory sets and analytic balayage of measures”, Sb. Math., 209:9 (2018), 1376–1389  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  crossref  crossref  isi  elib  scopus
21. A. D. Baranov, K. Yu. Fedorovskiy, “On $L^1$-estimates of derivatives of univalent rational functions”, J. Anal. Math., 132 (2017), 63–80  crossref  mathscinet  zmath  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
23. E. V. Borovik, K. Yu. Fedorovskiy, “On the Relationship Between Nevanlinna and Quadrature Domains”, Math. Notes, 99:3 (2016), 460–464  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
24. A. D. Baranov, J. J. Carmona, K. Yu. Fedorovskiy, “Density of certain polynomial modules”, J. Approx. Theory, 206 (2016), 1–16  crossref  mathscinet  zmath  isi  elib  scopus
25. K. Yu. Fedorovskii, Approksimatsiya polianaliticheskimi mnogochlenami, IPM im. M. V. Keldysha, M., 2016 , 197 pp.  crossref

   2015
26. K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus

   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  mathnet  crossref  mathscinet  isi  elib  elib  scopus

   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  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
30. Proc. Steklov Inst. Math., 279 (2012), 215–229  mathnet  crossref  mathscinet  zmath  isi  elib
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  crossref  mathscinet  zmath  isi
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  elib

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
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  crossref  mathscinet  zmath  isi  elib  scopus

   2009
35. K. Yu. Fedorovskiy, “Nevanlinna domains in problems of polyanalytic polynomial approximation”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 131–142  mathscinet  zmath  isi  elib  scopus
36. K. Yu. Fedorovskiy, “Uniform approximation problems”, Uzbek. Mat. Zh., 2009, no. 1, 33–44  mathscinet

   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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025