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
V. A. Borovitskiy, S. V. Kislyakov, “Interpolation of abstract spaces of Hardy type”, Zap. Nauchn. Sem. POMI, 503 (2021), 22–56
2019
2.
I. K. Zlotnikov, S. V. Kislyakov, “Grothendieck theorem for some uniform algebras and modules over them”, Zap. Nauchn. Sem. POMI, 480 (2019), 108–121
2018
3.
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
4.
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
2017
5.
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
2015
6.
S. V. Kislyakov, “Corona theorem and interpolation”, Algebra i Analiz, 27:5 (2015), 69–80; St. Petersburg Math. J., 27:5 (2016), 757–764
2014
7.
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
8.
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
9.
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
2012
10.
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
2010
11.
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
2009
12.
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
13.
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
2007
14.
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
15.
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
16.
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
17.
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
18.
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
2004
19.
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
2003
20.
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
2002
21.
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
2000
22.
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
23.
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
24.
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
25.
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
1995
26.
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
1994
27.
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
1991
28.
S. V. Kislyakov, “Absolutely summing operators on the disc algebra”, Algebra i Analiz, 3:4 (1991), 1–77; St. Petersburg Math. J., 3:4 (1992), 705–774
1989
29.
S. V. Kislyakov, “Proper uniform algebras are uncomplemented”, Dokl. Akad. Nauk SSSR, 309:4 (1989), 795–798; Dokl. Math., 40:3 (1990), 584–586
30.
S. V. Kislyakov, “Exceptional sets in harmonic analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 42 (1989), 199–227
31.
S. V. Kislyakov, “On uniformly convergent double Fourier series”, Zap. Nauchn. Sem. LOMI, 178 (1989), 151–162; J. Soviet Math., 61:2 (1992), 2038–2044
1988
32.
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
1987
33.
S. V. Kislyakov, “Interpolation inequalities for Fourier multipliers and their
applications”, Dokl. Akad. Nauk SSSR, 292:1 (1987), 29–33
34.
S. V. Kislyakov, “Classical problems of Fourier analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 15 (1987), 135–195
35.
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
36.
S. V. Kislyakov, “A correction theorem and the dyadic space $H(1,\infty)$”, Zap. Nauchn. Sem. LOMI, 149 (1986), 67–75
1985
37.
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
1984
38.
S. V. Kislyakov, “A new correction theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984), 305–330; Math. USSR-Izv., 24:2 (1985), 283–305
39.
S. V. Kislyakov, “Remarks on correcting”, Zap. Nauchn. Sem. LOMI, 135 (1984), 69–75
1983
40.
S. V. Kislyakov, “Projections onto the set of Hankel matrices”, Zap. Nauchn. Sem. LOMI, 126 (1983), 109–116
1982
41.
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
1981
42.
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
43.
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
44.
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
45.
S. V. Kislyakov, “Quantitative aspect of correction theorems”, Zap. Nauchn. Sem. LOMI, 92 (1979), 182–191
46.
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
1977
47.
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
48.
S. V. Kislyakov, “Spaces with “small” annihilators”, Zap. Nauchn. Sem. LOMI, 65 (1976), 192–195; J. Soviet Math., 16:3 (1981), 1181–1184
49.
S. V. Kislyakov, “Uniform algebras as Banach spaces”, Zap. Nauchn. Sem. LOMI, 65 (1976), 80–89; J. Soviet Math., 16:3 (1981), 1102–1108
1975
50.
S. V. Kislyakov, “On the conditions of Dunford–Pettis, Pelczynski and Grothendieck”, Dokl. Akad. Nauk SSSR, 225:6 (1975), 1252–1255
51.
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
52.
S. V. Kislyakov, “Uncomplemented uniform algebras”, Mat. Zametki, 18:1 (1975), 91–96; Math. Notes, 18:1 (1974), 637–639
53.
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
54.
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
1973
55.
S. V. Kislyakov, “Free subalgebras of complete Boolean algebras, and spaces of continuous functions”, Sibirsk. Mat. Zh., 14:3 (1973), 569–581; Siberian Math. J., 14:3 (1973), 395–403
1972
56.
S. V. Kislyakov, “The embedding of free Boolean algebras in complete ones”, Zap. Nauchn. Sem. LOMI, 30 (1972), 165–166
2021
57.
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
58.
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
59.
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
60.
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
2014
61.
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
2011
62.
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
63.
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
2003
64.
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
65.
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
66.
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
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
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