01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
27.12.1950
E-mail:
Keywords:
function spaces,
Fourier analysis,
singular integrals,
interpolation,
operator ideals.
Main publications:
Gamelin T. W., Kislyakov S. V., “Uniform algebras as Banach spaces”, Handbook of the geometry of Banach spaces, vol. 1, Elsevier, Amsterdam, 2001, 671–706
Kislyakov S. V, “Interpolation involving bounded bianalytic functions”, Oper. Theory Adv. Appl., 113 (2000), 135–149
Kislyakov S. V., “A sharp correction theorem”, Studia Math., 113 (1995), 177–196
Kislyakov S. V., “Interpolation of $H^p$-spaces: some recent developments”, Function spaces, interpolation spaces, and related topics (Haifa, 1995), Israel Math. Conf. Proc., 113, 1999, 102–140
Kislyakov S. V., “Koeffitsienty Fure granichnykh znachenii funktsii, analiticheskikh v kruge i v bidiske”, Trudy MIAN, 155, 1981, 77–94
I. O. Gushchin, S. V. Kislyakov, “Isomorphism problems, averaging, and domination for differential operators”, Algebra i Analiz, 37:4 (2025), 166–180
2024
2.
S. V. Kislyakov, “On absolutely divergent Fourier series”, Zap. Nauchn. Sem. POMI, 537 (2024), 94–103
2023
3.
S. V. Kislyakov, A. A. Skvortsov, “Various metrics in the problem of ideals for the algebra $H^\infty$”, Algebra i Analiz, 35:5 (2023), 99–116; St. Petersburg Math. J., 35:5 (2024), 815–826
S. V. Kislyakov, “Partial retractions for abstract Hardy-type spaces”, Zap. Nauchn. Sem. POMI, 527 (2023), 84–93; J. Math. Sci. (N. Y.), 284:6 (2024), 788–794
2022
5.
S. V. Kislyakov, A. A. Skvortsov, “Fixed point theorems and Hardy classes”, Zap. Nauchn. Sem. POMI, 512 (2022), 95–115
S. V. Kislyakov, “Correction up to functions with sparce spectrum and uniformly convergent Fourier integral representation: the group $\mathbb R^n$”, Zap. Nauchn. Sem. POMI, 467 (2018), 116–127; J. Math. Sci. (N. Y.), 243:6 (2019), 900–906
S. V. Kislyakov, “A remark on indicator functions with gaps in the spectrum”, Zap. Nauchn. Sem. POMI, 467 (2018), 108–115; J. Math. Sci. (N. Y.), 243:6 (2019), 895–899
S. V. Kislyakov, D. V. Maksimov, “An embedding theorem with anisotropy for vector fields”, Zap. Nauchn. Sem. POMI, 456 (2017), 114–124; J. Math. Sci. (N. Y.), 234:3 (2018), 343–349
S. V. Kislyakov, N. Ya. Kruglyak, J. Niyobuhungiro, “Characterization of optimal decompositions in real interpolation. II”, Zap. Nauchn. Sem. POMI, 424 (2014), 179–185; J. Math. Sci. (N. Y.), 209:5 (2015), 778–782
2013
13.
A. V. Vasin, S. V. Kislyakov, A. N. Medvedev, “Local smoothness of an analytic function compared to the smoothness of its modulus”, Algebra i Analiz, 25:3 (2013), 52–85; St. Petersburg Math. J., 25:3 (2014), 397–420
S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov, “Spaces of Smooth Functions Generated by Nonhomogeneous Differential Expressions”, Funktsional. Anal. i Prilozhen., 47:2 (2013), 89–92; Funct. Anal. Appl., 47:2 (2013), 157–159
S. V. Kislyakov, D. V. Rutsky, “Some remarks to the corona theorem”, Algebra i Analiz, 24:2 (2012), 171–191; St. Petersburg Math. J., 24:2 (2013), 313–326
P. Ivanishvili, S. V. Kislyakov, “Correction up to a function with sparse spectrum and uniformly convergent Fourier series”, Zap. Nauchn. Sem. POMI, 376 (2010), 25–47; J. Math. Sci. (N. Y.), 172:2 (2011), 195–206
S. V. Kislyakov, “Weak type (1,1) in a Refinement of the Marcinkiewicz Theorem”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 89–92; Funct. Anal. Appl., 43:3 (2009), 236–238
2008
18.
S. V. Kislyakov, “Littlewood–Paley theorem for arbitrary intervals: weighted estimates”, Zap. Nauchn. Sem. POMI, 355 (2008), 180–198; J. Math. Sci. (N. Y.), 156:5 (2009), 824–833
S. V. Kislyakov, D. V. Parilov, “On singular integrals related to the Littlewood–Paley inequality for arbitrary intervals”, Zap. Nauchn. Sem. POMI, 345 (2007), 113–119; J. Math. Sci. (N. Y.), 148:6 (2008), 846–849
2006
20.
S. V. Kislyakov, N. Ya. Kruglyak, “Stability of Approximation Under the Action of Singular Integral Operators”, Funktsional. Anal. i Prilozhen., 40:4 (2006), 49–64; Funct. Anal. Appl., 40:4 (2006), 285–297
D. S. Anisimov, S. V. Kislyakov, “Strong factorization of operators defined on subspaces of analytic functions in lattices”, Zap. Nauchn. Sem. POMI, 333 (2006), 5–16; J. Math. Sci. (N. Y.), 141:5 (2007), 1511–1516
2005
22.
S. V. Kislyakov, D. V. Parilov, “On the Littlewood–Paley theorem for arbitrary intervals”, Zap. Nauchn. Sem. POMI, 327 (2005), 98–114; J. Math. Sci. (N. Y.), 139:2 (2006), 6417–6424
S. V. Kislyakov, D. V. Maksimov, “Isomorphic type of the space of smooth functions determined by a finite family of differential operators”, Zap. Nauchn. Sem. POMI, 327 (2005), 78–97; J. Math. Sci. (N. Y.), 139:2 (2006), 6406–6416
D. S. Anisimov, S. V. Kislyakov, “Double singular integrals: interpolation and correction”, Algebra i Analiz, 16:5 (2004), 1–33; St. Petersburg Math. J., 16:5 (2005), 749–772
S. V. Kislyakov, “On BMO-regular lattices of measurable functions. II”, Zap. Nauchn. Sem. POMI, 303 (2003), 161–168; J. Math. Sci. (N. Y.), 129:4 (2005), 4018–4021
S. V. Kislyakov, “On BMO-regular lattices of measurable functions”, Algebra i Analiz, 14:2 (2002), 117–135; St. Petersburg Math. J., 14:2 (2003), 273–286
S. V. Kislyakov, “Extension of operators defined on reflexive subspaces of $L^1$ and $L^1/H^1$”, Zap. Nauchn. Sem. POMI, 270 (2000), 103–123; J. Math. Sci. (N. Y.), 115:2 (2003), 2147–2156
28.
S. V. Kislyakov, “Similarity problem for certain martingale uniform algebras”, Zap. Nauchn. Sem. POMI, 270 (2000), 90–102; J. Math. Sci. (N. Y.), 115:2 (2003), 2141–2146
1997
29.
S. V. Kislyakov, “Operators, not similar to a contraction: Pisier's counterexample via singular integrals”, Zap. Nauchn. Sem. POMI, 247 (1997), 79–95; J. Math. Sci. (New York), 101:3 (2000), 3093–3103
1996
30.
S. V. Kislyakov, Quan Hua Xu, “Real interpolation and singular integrals”, Algebra i Analiz, 8:4 (1996), 75–109; St. Petersburg Math. J., 8:4 (1997), 593–615
S. V. Kislyakov, “Some more spaces for which an analogue of the Grothendieck theorem holds”, Algebra i Analiz, 7:1 (1995), 62–91; St. Petersburg Math. J., 7:1 (1996), 53–76
S. V. Kislyakov, “Quantitative aspect of correction theorems. II”, Zap. Nauchn. Sem. POMI, 217 (1994), 83–91; J. Math. Sci. (New York), 85:2 (1997), 1808–1813
S. V. Kislyakov, N. G. Sidorenko, “Absence of local unconditional structure in anisotropic spaces of smooth functions”, Sibirsk. Mat. Zh., 29:3 (1988), 64–77; Siberian Math. J., 29:3 (1988), 384–394
S. V. Kislyakov, “A simplified proof of a theorem of J. Bourgain on extension of operators”, Zap. Nauchn. Sem. LOMI, 157 (1987), 146–150
1986
41.
S. V. Kislyakov, “A correction theorem and the dyadic space $H(1,\infty)$”, Zap. Nauchn. Sem. LOMI, 149 (1986), 67–75
1985
42.
S. V. Kislyakov, “Martingale transforms and uniformly convergent orthogonal series”, Zap. Nauchn. Sem. LOMI, 141 (1985), 18–38; J. Soviet Math., 37:5 (1987), 1276–1287
S. V. Kislyakov, “Once more about free interpolation by functions analytic outside of a preseribed set”, Zap. Nauchn. Sem. LOMI, 107 (1982), 71–88; J. Soviet Math., 36:3 (1987), 342–352
S. V. Kislyakov, “Fourier coefficients of boundary values of functions that are analytic in the disc and bidisc”, Trudy Mat. Inst. Steklov., 155 (1981), 77–94; Proc. Steklov Inst. Math., 155 (1983), 75–91
S. V. Kislyakov, “Two remarks concerning the equation $\Pi_p(X,\cdot)=I_p(X,\cdot)$”, Zap. Nauchn. Sem. LOMI, 113 (1981), 135–148; J. Soviet Math., 22:6 (1983), 1783–1792
1979
49.
S. V. Kislyakov, “Reflexive subspaces of the space $C_A^*$”, Funktsional. Anal. i Prilozhen., 13:1 (1979), 21–30; Funct. Anal. Appl., 13:1 (1979), 16–23
50.
S. V. Kislyakov, “Quantitative aspect of correction theorems”, Zap. Nauchn. Sem. LOMI, 92 (1979), 182–191
E. D. Gluskin, S. V. Kislyakov, O. I. Reinov, “Tenson products of $p$-absolutely summing operators and right ($I_p$, $N_p$) multipliers”, Zap. Nauchn. Sem. LOMI, 92 (1979), 85–102
S. V. Kislyakov, “Isomorphisms and projections for quotient-spaces of $\mathscr L_1$-spaces by their reflexive subspaces”, Zap. Nauchn. Sem. LOMI, 73 (1977), 91–101; J. Soviet Math., 34:6 (1986), 2074–2080
1976
53.
S. V. Kislyakov, “Spaces with “small” annihilators”, Zap. Nauchn. Sem. LOMI, 65 (1976), 192–195; J. Soviet Math., 16:3 (1981), 1181–1184
S. V. Kislyakov, “Sobolev imbedding operators and the nonisomorphism of certain Banach spaces”, Funktsional. Anal. i Prilozhen., 9:4 (1975), 22–27; Funct. Anal. Appl., 9:4 (1975), 290–294
S. V. Kislyakov, “Correction to the paper “Free subalgebras of complete Boolean algebras and spaces of continuous functions””, Sibirsk. Mat. Zh., 16:2 (1975), 417; Siberian Math. J., 16:2 (1975), 322
59.
S. V. Kislyakov, “A classification of the spaces of continuous functions on the ordinals”, Sibirsk. Mat. Zh., 16:2 (1975), 293–300; Siberian Math. J., 16:2 (1975), 226–231
S. V. Kislyakov, “The embedding of free Boolean algebras in complete ones”, Zap. Nauchn. Sem. LOMI, 30 (1972), 165–166
2024
62.
D. E. Apushkinskaya, A. A. Arkhipova, V. M. Babich, G. S. Weiss, I. A. Ibragimov, S. V. Kislyakov, N. V. Krylov, A. A. Laptev, A. I. Nazarov, G. A. Seregin, T. A. Suslina, H. Shahgholian, “On the 90th birthday of Nina Nikolaevna Uraltseva”, Uspekhi Mat. Nauk, 79:6(480) (2024), 179–192; Russian Math. Surveys, 79:6 (2024), 1119–1131
63.
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187; Russian Math. Surveys, 79:4 (2024), 739–745
64.
N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Uspekhi Mat. Nauk, 79:3(477) (2024), 189–193; Russian Math. Surveys, 79:3 (2024), 557–562
2022
65.
S. V. Kislyakov, “Preface”, Algebra i Analiz, 34:3 (2022), 3–4
2021
66.
D. Yu. Burago, Yu. D. Burago, A. L. Verner, A. M. Vershik, M. L. Gromov, I. A. Ibragimov, S. V. Ivanov, S. V. Kislyakov, S. S. Kutateladze, A. A. Lodkin, Yu. V. Matiyasevich, N. E. Mnev, A. I. Nazarov, G. Yu. Panina, Yu. G. Reshetnyak, V. A. Rizhik, N. N. Uraltseva, Ya. M. Eliashberg, “Viktor Abramovich Zalgaller (obituary)”, Uspekhi Mat. Nauk, 76:5(461) (2021), 195–198; Russian Math. Surveys, 76:5 (2021), 927–931
67.
M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 76:1(457) (2021), 201–202; Russian Math. Surveys, 76:1 (2021), 193–194
2020
68.
S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 197–200; Russian Math. Surveys, 75:2 (2020), 387–391
2017
69.
B. Berndtsson, S. V. Kislyakov, R. G. Novikov, V. M. Polterovich, P. L. Polyakov, A. E. Tumanov, A. A. Shananin, C. L. Epstein, “Gennadi Markovich Henkin (obituary)”, Uspekhi Mat. Nauk, 72:3(435) (2017), 170–190; Russian Math. Surveys, 72:3 (2017), 547–570
I. Ya. Aref'eva, V. M. Buchstaber, E. P. Velikhov, A. B. Zhizhchenko, V. E. Zakharov, I. A. Ibragimov, S. V. Kislyakov, V. V. Kozlov, P. P. Kulish, L. N. Lipatov, V. P. Maslov, V. A. Matveev, S. P. Novikov, Yu. S. Osipov, A. M. Polyakov, V. A. Rubakov, M. A. Semenov-Tian-Shansky, Yu. A. Simonov, Ya. G. Sinai, A. A. Slavnov, I. A. Sokolov, L. A. Takhtadzhyan, V. E. Fortov, S. L. Shatashvili, “Ludvig Dmitrievich Faddeev (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:6(420) (2014), 183–191; Russian Math. Surveys, 69:6 (2014), 1133–1142
I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, S. V. Kislyakov, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his eightieth birthay)”, Uspekhi Mat. Nauk, 66:1(397) (2011), 205–207; Russian Math. Surveys, 66:1 (2011), 205–208
2010
72.
V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010), 185–190; Russian Math. Surveys, 65:3 (2010), 569–575
S. V. Kislyakov, “Vladimir V. Pelier. Hankel operators and their applications. Springer Monographs in Mathematics, Springer-
Verlag, New York–Berlin–Heidelberg, 2003, p.p. VIII+784”, Algebra i Analiz, 15:6 (2003), 216–221
1992
74.
S. V. Kislyakov, “Jan-Olov Strömberg, Alberto Torchinsky. “Weighted Hardy Spaces. Lecture Notes in Mathematics”. Vol. 1381. Springer, 1989. 193 p.”, Algebra i Analiz, 4:4 (1992), 239–240
1989
75.
S. V. Kislyakov, “G. Рisiеr. Factorization of linear operators and geometry of Banach spaces (Conf. Board in the Math. Siences. Reg. Conf. Ser. in Math. N 60). Providence: Amer. Math. Soc., 1986. 164 p.”, Algebra i Analiz, 1:5 (1989), 233–239
Correction theorems and the uncertainty principle S. V. Kislyakov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 29, 2023 10:00
5.
Вокруг гипотезы Гликсберга S. V. Kislyakov Seminar on Operator Theory and Function Theory October 24, 2022 17:30
A general property of ideals in uniform algebras S. V. Kislyakov International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 9, 2018 10:30
