01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
,
Keywords:
Fourier series,
quadrature formulae,
interpolation of function spaces,
stochastic processes,
Lorentz space,
Besov space,
embedding theorem,
trace theorem.
UDC:
517, 517.5, 517.51, 517.52, 517.9, 517.98
Subject:
Fourier series, quadrature formulae, interpolation of function spaces, stochastic processes.
Biography
11/1983 PhD, Moscow State University
03/1999 Dr. of Science, Mathematical Institute of Steklov RAS (Moscow).
Main publications:
Nursultanov E. D., Tleukhanova N. T., “Quadrature formulae for classes of functions of law smoothness”, Mat. Sb., 194:10 (2003), 133–160; translation in Sb. Math., 194:10 (2003), 1559–1584
Nursultanov E. D., “Interpolation theorems for anisotropic function spaces and their applications”, Dokl. Akad. Nauk RAN, 394:1 (2004), 22–25
Nursultanov E. D., Tleukhanova N. T., “Lower and upper bounds for the norm of multipliers of multiple trigonometric Fourier series in Lebesgue spaces”, Funktsional. Anal. i Prilozhen., 34:2 (2000), 86–88; translation in Funct. Anal. Appl., 34:2
\pges 151–153 (2000)
Nursultanov E. D., “On the coefficients of multiple Fourier series from $L^p$-spaces”, Izv. Ross. Akad. Nauk Ser. Mat., 64:1 (2000), 95–122; translation in Izv. Math., 64:1 (2000), 93–120
Nursultanov E. D., “Network spaces and inequalities of Hardy–Littlewood type”, Mat. Sb., 189:3 (1998), 83–102; translation in Sb. Math., 189:3–4 (1998), 399–419
E. D. Nursultanov, S. U. Tikhonov, “Net Spaces and Boundedness of Integral Operators”, Journal of Geometric Analysis, 21 (2011), 950–981 , Springer Nature, Switzerland
V. I. Burenkov, E. D. Nursultanov, D. K. Chigambayeva, “Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations”, Proc. Steklov Inst. Math., 284 (2014), 97–128
7.
E. D. Nursultanov, “Nikol'skii's Inequality for Different Metrics and Properties of the Sequence of Norms of the Fourier Sums of a Function in the Lorentz Space”, Proc. Steklov Inst. Math., 255 (2006), 185–202
8.
Akylzhanov Rauan Nursultanov Erlan, Michael Ruzhansky, “Hardy-Littlewood-Paley inequalities and Fourier multipliers on SU(2”, Studia Mathematica, 234 (2016), 1–29 , Polska Akademia Nauk, Poland
V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 46–53;
E. D. Nursultanov, N. T. Tleukhanova, “Lower and Upper Bounds for the Norm of Multipliers of Multpile Trigonometric Fourier Series in Lebesgue Spaces”, Funct. Anal. Appl., 34:2 (2000), 151–153
11.
E. D. Nursultanov, “Concerning the multiplicators of Fourier series in the trigonometric system”, Math. Notes, 63:2 (1998), 205–214
12.
Rauan Akylzhanova, Michael Ruzhanskya, Erlan Nursultanov, “Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-LqFourier multipliers on compact homogeneous manifolds”, Journal of Mathematical Analysis and Applications, 479 (2019), 1519–1548 , Academic Press, United States
E. D. Nursultanov, M. V. Ruzhansky, S. Yu. Tikhonov, “Nikolskii Inequality and Functional Classes on Compact Lie Groups”, Funct. Anal. Appl., 49:3 (2015), 226–229
14.
E. D. Nursultanov, S. U. Tikhonov, “Convolution inequalities in Lorentz spaces”, Journal of Fourier Analysis and Applications, 17 (2011), 486–505 , Birkhaeuser, United States
K. A. Bekmaganbetov, E. D. Nursultanov, “Embedding theorems for anisotropic Besov spaces $B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$”, Izv. Math., 73:4 (2009), 655–668
16.
E. D. Nursultanov, “Application of Interpolational Methods to the Study of Properties of Functions of Several Variables”, Math. Notes, 75:3 (2004), 341–351
17.
M. Dyachenko, E. Nursultanov, A. Kankenova, “On summability of Fourier coefficients of functions from Lebesgue space”, Journal of Mathematical Analysis and Applications, 419 (2014), 959–971 , Academic Press, United States
M. Dyachenko, E. Nursultanov, S. Tikhonov, “Hardy-Littlewood and Pitt's inequalities for Hausdorff operators”, Bulletin des Sciences Mathematiques, 147 (2018), 40–57 , Elsevier BV, Netherlands
R. H. Akilzhanoff, E. D. Nursultanov, M. V. Ruzhanskii, “Hardy–Littlewood–Paley-type Inequalities on Compact Lie Groups”, Math. Notes, 100:2 (2016), 309–312
20.
M. I. Dyachenko, E. D. Nursultanov, “Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients”, Sb. Math., 200:11 (2009), 1617–1631
21.
E. D. Nursultanov, T. U. Aubakirov, “The Hardy–Littlewood Theorem for Fourier–Haar Series”, Math. Notes, 73:3 (2003), 314–320
22.
E. D. Nursultanov, N. T. Tleukhanova, “Approximate computation of integrals for functions in $W_p^\alpha[0,1]^n$”, Russian Math. Surveys, 55:6 (2000), 1165–1167
23.
V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 87–94;
V. I. Burenkov, D. K. Chigambayeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces”, Eurasian Math. J., 9:2 (2018), 82–88;
A. N. Kopezhanova, E. D. Nursultanov, L.-E. Persson, “On Inequalities for the Fourier Transform of Functions from Lorentz Spaces”, Math. Notes, 90:5 (2011), 767–770
26.
E. D. Nursultanov, N. T. Tleukhanova, “Quadrature formulae for classes of functions of low smoothness”, Sb. Math., 194:10 (2003), 1559–1584
27.
M. Dyachenko, E. Nursultanov, S. Tikhonov, “Hardy-type theorems on Fourier transforms revised”, Journal of Mathematical Analysis and Applications, 467 (2018), 171–184 , Academic Press, United States
K. A. Bekmaganbetov, E. D. Nursultanov, “On Interpolation and Embedding Theorems for the Spaces $\overset{\star}{\mathfrak B}{}_{p\tau}^{\sigma q}(\Omega)$”, Math. Notes, 84:5 (2008), 733–736
31.
A. G. Kostyuchenko, E. D. Nursultanov, “On integral operators in $L_p$-spaces”, Fundam. Prikl. Mat., 5:2 (1999), 475–491
32.
E. D. Nursultanov, N. T. Tleukhanova, “Multipliers of Multiple Fourier Series”, Proc. Steklov Inst. Math., 227 (1999), 231–236
33.
E. D. Nursultanov, “A lower bound for a Fourier transform multiplicator from $M(L_p\to L_q)$”, Math. Notes, 62:6 (1997), 792–796
34.
A. N. Bashirova, E. D. Nursultanov, “On the inequality of different metrics for multiple Fourier–Haar series”, Eurasian Math. J., 12:3 (2021), 90–93;
A. N. Bashirova, A. K. Kalidolday, E. D. Nursultanov, “Interpolation theorem for anisotropic net spaces”, Russian Math. (Iz. VUZ), 65:8 (2021), 1–12
36.
E. Nursultanov, S. Tikhonov, “Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces”, Journal of Fourier Analysis and Applications, 26 (2020), 57 , Birkhaeuser, United States
E. Nursultanov, T. Aubakirov, “Interpolation Methods for Stochastic Processes Spaces”, Abstract and Applied Analysis, 2013 (2013) , Hindawi Publishing Corporation, United States
E. D. Nursultanov, “A Many-Parameter Interpolation Functor and the Lorentz Space $L_{p\vec{q}}$, $\vec{q}=(q_1,\dots,q_n)$”, Funct. Anal. Appl., 31:2 (1997), 136–138
41.
V. I. Burenkov, D. K. Chigambaeva, E. D. Nursultanov, “Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries”, Complex Variables and Elliptic Equations, 65 (2020), 87–108 , Taylor & Francis, United Kingdom
E. Nursultanov, S. Tikhonov, “Wiener-Beurling spaces and their properties”, Bulletin des Sciences Mathematiques, 159 (2020), 102825 , Elsevier BV, Netherlands
D. G. Dzhumabaeva, M. I. Dyachenko, E. D. Nursultanov, “On convergence of multiple trigonometric series with monotone coefficients”, Siberian Math. J., 58:2 (2017), 205–214
44.
M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 4:2 (2013), 140–143;
A. G. Kostyuchenko, E. D. Nursultanov, “Theory of control of “catastrophes””, Russian Math. Surveys, 53:3 (1998), 628–629
46.
E. D. Nursultanov, D. b. Suragan, “On the convolution operator in Morrey spaces”, Journal of Mathematical Analysis and Applications, 515 (2022), 126357 , Academic Press, United States
V. I. Burenkov, E. D. Nursultanov, “Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications”, Proc. Steklov Inst. Math., 312 (2021), 124–149
48.
A. Kopezhanova, E. Nursultanov, L. E. Persson, “A new generalization of Boas theorem for some Lorentz spaces $\Lambda_q (\omega)$”, Journal of Mathematical Inequalities, 12 (2018), 619–633
E. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm convolution inequalities in Lebesgue spaces”, Revista Matematica Iberoamericana, 34 (2018), 811–838 , Universidad Autonoma de Madrid, Spain
N. T. Tleukhanova, E. D. Nursultanov, “Summability of the Fourier cofficients of function from anisotropic Lorentz space”, International Conference on Analysis and Applied Mathematics, AIP Conference Proceedings, 1676, 2016, 020071-1– 020071-8
M. I. Dyachenko, E. D. Nursultanov, M. E. Nursultanov, “The Hardy–Littlewood Theorem for Multiple Fourier Series with Monotone Coefficients”, Math. Notes, 99:4 (2016), 503–510
53.
E. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm inequalities for convolution operators”, Comptes Rendus Mathematique, 347 (2009), 1385–1388 , Elsevier BV, Netherlands
A. K. Kalidolday, E. D. Nursultanov, “Marcinkiewicz's interpolation theorem for linear operators on net spaces”, Eurasian Math. J., 13:4 (2022), 61–69;
A. M. Zhantakbayeva, E. D. Nursultanov, “Paley inequality for Bellman transform of multiple Fourier series”, Moscow University Mathematics Bulletin, 69:3 (2014), 94–99
56.
A. M. Zhantakbayeva, E. D. Nursultanov, “Summability of Fourier coefficients of functions from the Lorentz space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 2, 64–66
57.
E. D. Nursultanov, K. S. Saidahmetov, “On lower bound of the norm of integral convolution operator”, Fundam. Prikl. Mat., 8:1 (2002), 141–150
58.
E. D. Nursultanov, “Certain properties of the roots of a weakly hyperbolic operator pencil”, Funct. Anal. Appl., 23:1 (1989), 68–69
59.
E. D. Nursultanov, D. Suragan, “Hardy-Littlewood-Stein inequalities for double trigonometric series”, Mathematical Inequalities and Applications, 26 (2023), 1–15 , Element d.o.o., Croatia
60.
Mikhail Dyachenko, Erlan Nursultanov, Sergey Tikhonov, Ferenc Weisz, “Hardy–Littlewood-type theorems for Fourier transforms in R^d”, Journal of Functional Analysis, 284 (2023), 109776 , Academic Press, United States
61.
A. N. Bashirova, E. D. Nursultanov, “The Hardy—Littlewood theorem for double Fourier—Haar series from mixed metric Lebesgue $L_{\tilde p}[0, 1]^2$ and net $N_{{\tilde p}, {\tilde q}}(M)$ spaces”, Analysis Mathematica, 48 (2022), 5–17 , Akademiai Kiado, Hungary
62.
E. D. Nursultanov, N. T. Tleukhanova, Z. M. Mukeyeva, “On the Marcinkiewicz–Calderón Interpolation Theorem for Integral Operators”, Math. Notes, 111:3 (2022), 423–432
63.
N. T. Tleukhanova, E. D. Nursultanov, A. N. Bashirova, “Multipliers of double Fourier–Haar series”, Advances in Operator Theory, 6 (2021), 58
64.
E. D. Nursultanov, D. K. Chiganbayeva, Interpolation of Morrey-Tape Spaces, Epigraf Almaty, 2019 , 137 pp.
65.
E. D. Nursultanov, D. K. Chiganbaeva, Interpolyatsiya prostranstv tipa Morri, Tekhno Erudit Almaty, 2019 , 144 pp.
66.
M. Dyachenko, A. Mukanov, E. Nursultanov, “A Boas-type theorem for alpha-monotone functions”, Mathematica Scandinavica, 120 (2017), 39–58 , Mathematica Scandinavica, Denmark
67.
Aigerim Kopezhanova, Erlan Nursultanov, Lars-erik Persson, “Some new two-sided inequalities concerning the Fourier transform”, Mathematical Inequalities and Applications, 20 (2017), 855–864 , Element d.o.o., Croatia
68.
E. D. Nursultanov, M. V. Ruzhansky, S. Yu Tikhonov, “Nikolskii Inequality and Besov, Tribel-Lizorkin and Beurling Spaces s on Compact Hoomogeneous manifolds”, Ann. Sc. Norm. Super. Pisa CI. Sci, 15 (2016), 981–1017
69.
M. I. Dyachenko, E. D. Nursultanov, “Konstanty v obobschennoi teoreme Khardi-Littlvuda”, Sovremennye problemy teorii funktsii i ikh prilozheniya: Materialy 18-i mezhdunar. Sarat. zimnei shkoly, OOO Izdatelstvo Nauchnaya kniga Saratov, 2016, 131–133
70.
V. I. Burenkov, E. D. Nursultanov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, T. V. Tararykova, A. M. Temirkhanova, “EMJ: from Scopus Q4 to Scopus Q3 in two years?!”, Eurasian Math. J., 7:3 (2016), 6;
71.
E. Nursultanov, S. Tikhonov, “Weighted Norm Inequolities for Convolution and Riesz Potential”, Potential Analysis, 42 (2015), 435–456 , Springer Nature, Switzerland
72.
E. D. Nursultanov, N. T. Tleukhanova, “On reconstruction of multiplicative transformations of functions in anisotropic spaces”, Siberian Math. J., 55:3 (2014), 482–497
73.
E. D. Nursultanov, A. M. Zhantakbaeva, “O summiruemosti koeffitsientov Fure funktsii iz prostranstva Lorentsa”, Matematicheskii zhurnal, 13 (2013), 73–87
74.
M. I. Dyachenko, E. D. Nursultanov, S. Yu. Tikhonov, “Global and local smoothness of the Hilbert transforms”, Proc. Steklov Inst. Math., 280 (2013), 169–180
75.
E. D. Nursultanov, N. T. Tleukhanova, “O vosstanovlenii multiplikativnykh preobrazovanii funktsii iz prostranstv $Wp\alpha[0,1]n E\alpha [0,1]n , \alpha=(\alpha 1,\dots,\alpha n)$”, Matematicheskii zhurnal, 45 (2012), 122–136
76.
E. D. Nursultanov, S. Tikhonov, “A sharp Remez inequality for trigonometric polynomials”, Centre de Reserca Matematica, Prenrints, 1045 (2011), 1–20
77.
E. D. Nursultanov, M. I. Dyachenko, S. Yu. Tikhonov, “Globalnaya i lokalnaya gladkost preobrazovanii Gilberta”, Centre de Reserca Matematica, Prenrints, 1046 (2011), 1–12
78.
E. D. Nursultanov, A. N. Kopezhanova, “Teorema Boasa dlya obobschennogo prostranstva Lorentsa”, Vestnik Karagandinskogo universiteta. Seriya: Matematika, 62 (2011), 77–85
79.
E. D. Nursultanov, A. N. Kopezhanova, Persson L-E, “Relations between summability of the Fourier coefficients in regular systems and functions from some Lorentz type spaces”, Proceedings of A. Razmadze Mathematical Institute, 152 (2010), 73–88
80.
E. D. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm convolution inequalities in Lebesgue spaces”, Centre de Reserca Matematica, Prenrints, 877, Barcelona, 2009, 1–17
81.
E. D. Nursultanov, A. N. Kopezhanova, Persson L-E, “On summability of the Fourier coefficients for functions from some Lorentz type spaces”, Preprint of Lulea University of Technology, 8 (2009), 1–27
82.
K. A. Bekmaganbetov, E. D. Nursultanov, Zb. prats ²n-tu matematiki NAN Ukraini, Teoriya operatoriv, diferentsialni rivnyannya i teoriya funktsii, 6, ²n-tu matematiki NAN Ukraini Kiev, 2009, 64–72
83.
K. A. Bekmaganbetov, E. D. Nursultanov, “Neravenstvo raznykh metrik v anizotropnykh prostranstvakh Lorentsa”, Vestnik Rossiiskogo universiteta druzhby narodov: Seriya Matematika, informatika, fizika, 2009, 5–11 , Izd-vo RUDN, M.
84.
K. A. Bekmaganbetov, E. D. Nursultanov, “Metod mnogoparametricheskoi interpolyatsii dlya anizotropnykh prostranstv i interpolyatsiya anizotropnykh prostranstv Lebega”, Matematicheskii zhurnal (Kazakhstan), 7 (2007), 36–48
85.
E. D. Nursultanov, “Interpolation theorems for anisotropic function spaces and their applications”, Dokl. Akad. Nauk (Russ.), 394 (2004), 1–4
86.
D. G. Djumabaeva, E. D. Nursultanov, “On the convergence of double Fourier series of functions in $L_p[0,1]^2$, where $p=(p_1,p_ 2)$”, Analysis Mathematica, 28 (2002), 89–101 , Akademiai Kiado, Hungary
87.
E. D. Nursultanov, “Letter to the editor: “On multipliers of Fourier series in a trigonometric system””, Math. Notes, 65:6 (1999), 801;
88.
A. N. Bashirova, A. K. Kalidolday, E. D. Nursultanov, “Interpolation methods for anisotropic net spaces”, Eurasian Math. J., 15:2 (2024), 33–41;
89.
V. I. Burenkov, E. D. Nursultanov, D. Suragan, “International conference “Function spaces, analysis and approximation” Astana, Kazakhstan”, Eurasian Math. J., 15:1 (2024), 98–99
Presentations in Math-Net.Ru
1.
Integral operators in Morrey spaces E. D. Nursultanov VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 16, 2023 17:55
Î ïðîáëåìå ìóëüòèïëèêàòîðîâ òðèãîíîìåòðè÷åñêèõ ðÿäîâ Ôóðüå E. D. Nursultanov, N. T. Tleukhanova International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 28, 2015 10:00
5.
Norm convolution inequalities in $L_p$ E. D. Nursultanov, S. Yu. Tikhonov, N. T. Tleukhanova International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 25, 2015 17:05
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