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
M. I. Dyachenko, E. D. Nursultanov, D. G. Dzhumabaeva, “Multiple trigonometric series with partially monotone coefficients”, Mat. Sb. (to appear) ;
2024
2.
A. N. Bashirova, A. K. Kalidolday, E. D. Nursultanov, “Interpolation methods for anisotropic net spaces”, Eurasian Math. J., 15:2 (2024), 33–41;
3.
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
2023
4.
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
5.
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
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
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
8.
A. K. Kalidolday, E. D. Nursultanov, “Marcinkiewicz's interpolation theorem for linear operators on net spaces”, Eurasian Math. J., 13:4 (2022), 61–69;
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
2021
10.
N. T. Tleukhanova, E. D. Nursultanov, A. N. Bashirova, “Multipliers of double Fourier–Haar series”, Advances in Operator Theory, 6 (2021), 58
11.
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
13.
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
2020
14.
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, “Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces”, Journal of Fourier Analysis and Applications, 26 (2020), 57 , Birkhaeuser, United States
E. Nursultanov, S. Tikhonov, “Wiener-Beurling spaces and their properties”, Bulletin des Sciences Mathematiques, 159 (2020), 102825 , Elsevier BV, Netherlands
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;
E. D. Nursultanov, D. K. Chiganbayeva, Interpolation of Morrey-Tape Spaces, Epigraf Almaty, 2019 , 137 pp.
19.
E. D. Nursultanov, D. K. Chiganbaeva, Interpolyatsiya prostranstv tipa Morri, Tekhno Erudit Almaty, 2019 , 144 pp.
20.
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
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
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
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
E. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm convolution inequalities in Lebesgue spaces”, Revista Matematica Iberoamericana, 34 (2018), 811–838 , Universidad Autonoma de Madrid, Spain
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;
M. Dyachenko, A. Mukanov, E. Nursultanov, “A Boas-type theorem for alpha-monotone functions”, Mathematica Scandinavica, 120 (2017), 39–58 , Mathematica Scandinavica, Denmark
28.
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
29.
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
2016
30.
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
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
32.
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, “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
34.
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
35.
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
36.
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;
2015
37.
E. Nursultanov, S. Tikhonov, “Weighted Norm Inequolities for Convolution and Riesz Potential”, Potential Analysis, 42 (2015), 435–456 , Springer Nature, Switzerland
38.
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
2014
39.
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
E. D. Nursultanov, N. T. Tleukhanova, “On reconstruction of multiplicative transformations of functions in anisotropic spaces”, Siberian Math. J., 55:3 (2014), 482–497
41.
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
42.
A. M. Zhantakbayeva, E. D. Nursultanov, “Paley inequality for Bellman transform of multiple Fourier series”, Moscow University Mathematics Bulletin, 69:3 (2014), 94–99
2013
43.
E. D. Nursultanov, S. Yu. Tikhonov, “A Sharp Remez Inequality for Trigonometric Polynomials”, Constructive Approximation, 38 (2013), 101–132 , Springer Verlag, Germany
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. M. Zhantakbaeva, “O summiruemosti koeffitsientov Fure funktsii iz prostranstva Lorentsa”, Matematicheskii zhurnal, 13 (2013), 73–87
46.
M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 4:2 (2013), 140–143;
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;
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
2012
49.
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
2011
50.
E. D. Nursultanov, S. Tikhonov, “A sharp Remez inequality for trigonometric polynomials”, Centre de Reserca Matematica, Prenrints, 1045 (2011), 1–20
51.
E. D. Nursultanov, S. U. Tikhonov, “Convolution inequalities in Lorentz spaces”, Journal of Fourier Analysis and Applications, 17 (2011), 486–505 , Birkhaeuser, United States
E. D. Nursultanov, S. U. Tikhonov, “Net Spaces and Boundedness of Integral Operators”, Journal of Geometric Analysis, 21 (2011), 950–981 , Springer Nature, Switzerland
E. D. Nursultanov, M. I. Dyachenko, S. Yu. Tikhonov, “Globalnaya i lokalnaya gladkost preobrazovanii Gilberta”, Centre de Reserca Matematica, Prenrints, 1046 (2011), 1–12
54.
E. D. Nursultanov, A. N. Kopezhanova, “Teorema Boasa dlya obobschennogo prostranstva Lorentsa”, Vestnik Karagandinskogo universiteta. Seriya: Matematika, 62 (2011), 77–85
55.
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
2010
56.
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
57.
T. Aubakirov, E. Nursultanov, “Interpolation theorem for stochastic processes”, Eurasian Math. J., 1:1 (2010), 8–16;
E. D. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm convolution inequalities in Lebesgue spaces”, Centre de Reserca Matematica, Prenrints, 877, Barcelona, 2009, 1–17
61.
E. Nursultanov, S. Tikhonov, N. Tleukhanova, “Norm inequalities for convolution operators”, Comptes Rendus Mathematique, 347 (2009), 1385–1388 , Elsevier BV, Netherlands
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
63.
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
64.
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.
65.
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
66.
M. I. Dyachenko, E. D. Nursultanov, “Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients”, Sb. Math., 200:11 (2009), 1617–1631
2008
67.
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
2007
68.
K. A. Bekmaganbetov, E. D. Nursultanov, “Metod mnogoparametricheskoi interpolyatsii dlya anizotropnykh prostranstv i interpolyatsiya anizotropnykh prostranstv Lebega”, Matematicheskii zhurnal (Kazakhstan), 7 (2007), 36–48
2006
69.
T. U. Aubakirov, E. D. Nursultanov, “Spaces of stochastic processes, interpolation theorems”, Russian Math. Surveys, 61:6 (2006), 1167–1169
70.
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
2004
71.
E. D. Nursultanov, “Interpolation theorems for anisotropic function spaces and their applications”, Dokl. Akad. Nauk (Russ.), 394 (2004), 1–4
72.
E. D. Nursultanov, “Application of Interpolational Methods to the Study of Properties of Functions of Several Variables”, Math. Notes, 75:3 (2004), 341–351
73.
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
2003
74.
E. D. Nursultanov, T. U. Aubakirov, “The Hardy–Littlewood Theorem for Fourier–Haar Series”, Math. Notes, 73:3 (2003), 314–320
75.
E. D. Nursultanov, N. T. Tleukhanova, “Quadrature formulae for classes of functions of low smoothness”, Sb. Math., 194:10 (2003), 1559–1584
2002
76.
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
77.
E. D. Nursultanov, K. S. Saidahmetov, “On lower bound of the norm of integral convolution operator”, Fundam. Prikl. Mat., 8:1 (2002), 141–150
2000
78.
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
79.
E. D. Nursultanov, “On the coefficients of multiple Fourier series in $L_p$-spaces”, Izv. Math., 64:1 (2000), 93–120
80.
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
1999
81.
A. G. Kostyuchenko, E. D. Nursultanov, “On integral operators in $L_p$-spaces”, Fundam. Prikl. Mat., 5:2 (1999), 475–491
82.
E. D. Nursultanov, N. T. Tleukhanova, “Multipliers of Multiple Fourier Series”, Proc. Steklov Inst. Math., 227 (1999), 231–236
83.
E. D. Nursultanov, “Letter to the editor: “On multipliers of Fourier series in a trigonometric system””, Math. Notes, 65:6 (1999), 801
1998
84.
K. A. Bekmaganbetov, E. D. Nursultanov, “Metod mnogoparametricheskoi interpolyatsii i teoremy vlozheniya prostranstv Besova $B_{\vec p}^{\vec \alpha } \left[ {0,2\pi } \right)$”, Analysis Mathematica, 24 (1998), 241–263 , Akademiai Kiado, Hungary
E. D. Nursultanov, “Concerning the multiplicators of Fourier series in the trigonometric system”, Math. Notes, 63:2 (1998), 205–214
86.
A. G. Kostyuchenko, E. D. Nursultanov, “Theory of control of “catastrophes””, Russian Math. Surveys, 53:3 (1998), 628–629
87.
E. D. Nursultanov, “Net spaces and inequalities of Hardy–Littlewood type”, Sb. Math., 189:3 (1998), 399–419
1997
88.
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
89.
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
1989
90.
E. D. Nursultanov, “Certain properties of the roots of a weakly hyperbolic operator pencil”, Funct. Anal. Appl., 23:1 (1989), 68–69
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
2024
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