Nursultanov, Erlan D.; Suragan, Durvudkhan Hardy-Littlewood-Stein inequalities for double trigonometric series. (English) Zbl 1509.42006 Math. Inequal. Appl. 26, No. 1, 1-15 (2023). MSC: 42A16 42B05 46E30 26D15 42A38 PDFBibTeX XMLCite \textit{E. D. Nursultanov} and \textit{D. Suragan}, Math. Inequal. Appl. 26, No. 1, 1--15 (2023; Zbl 1509.42006) Full Text: DOI
Dyachenko, Mikhail; Nursultanov, Erlan; Tikhonov, Sergey; Weisz, Ferenc Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\). (English) Zbl 1510.42015 J. Funct. Anal. 284, No. 4, Article ID 109776, 36 p. (2023). Reviewer: E. K. Narayanan (Bangalore) MSC: 42B10 42B25 42B30 46E30 PDFBibTeX XMLCite \textit{M. Dyachenko} et al., J. Funct. Anal. 284, No. 4, Article ID 109776, 36 p. (2023; Zbl 1510.42015) Full Text: DOI arXiv
Nursultanov, Erlan D.; Suragan, Durvudkhan On the convolution operator in Morrey spaces. (English) Zbl 07559878 J. Math. Anal. Appl. 515, No. 1, Article ID 126357, 20 p. (2022). MSC: 42B35 42A85 46E30 PDFBibTeX XMLCite \textit{E. D. Nursultanov} and \textit{D. Suragan}, J. Math. Anal. Appl. 515, No. 1, Article ID 126357, 20 p. (2022; Zbl 07559878) Full Text: DOI
Nursultanov, E. D.; Tleukhanova, N. T.; Mukeeva, Zh. M. On the Marcinkiewicz-Calderón interpolation theorem for integral operators. (English. Russian original) Zbl 1497.46024 Math. Notes 111, No. 3, 423-432 (2022); translation from Mat. Zametki 111, No. 3, 422-432 (2022). MSC: 46B70 46M35 46E30 PDFBibTeX XMLCite \textit{E. D. Nursultanov} et al., Math. Notes 111, No. 3, 423--432 (2022; Zbl 1497.46024); translation from Mat. Zametki 111, No. 3, 422--432 (2022) Full Text: DOI
Tleukhanova, N. T.; Nursultanov, E. D.; Bashirova, A. N. Multipliers of double Fourier-Haar series. (English) Zbl 1473.42013 Adv. Oper. Theory 6, No. 3, Paper No. 58, 22 p. (2021). Reviewer: Jongchon Kim (Hong Kong) MSC: 42B15 42B05 46E30 42C10 PDFBibTeX XMLCite \textit{N. T. Tleukhanova} et al., Adv. Oper. Theory 6, No. 3, Paper No. 58, 22 p. (2021; Zbl 1473.42013) Full Text: DOI
Burenkov, V. I.; Nursultanov, E. D. Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications. (English. Russian original) Zbl 1523.47059 Proc. Steklov Inst. Math. 312, 124-149 (2021); translation from Tr. Mat. Inst. Steklova 312, 131-157 (2021). Reviewer: Fayou Zhao (Shanghai) MSC: 47H30 46E30 42B35 PDFBibTeX XMLCite \textit{V. I. Burenkov} and \textit{E. D. Nursultanov}, Proc. Steklov Inst. Math. 312, 124--149 (2021; Zbl 1523.47059); translation from Tr. Mat. Inst. Steklova 312, 131--157 (2021) Full Text: DOI
Nursultanov, Erlan; Tikhonov, Sergey Weighted Fourier inequalities in Lebesgue and Lorentz spaces. (English) Zbl 1439.42011 J. Fourier Anal. Appl. 26, No. 4, Paper No. 57, 29 p. (2020). MSC: 42B10 46E30 42B35 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, J. Fourier Anal. Appl. 26, No. 4, Paper No. 57, 29 p. (2020; Zbl 1439.42011) Full Text: DOI Link
Nursultanov, Erlan; Tikhonov, Sergey Wiener-Beurling spaces and their properties. (English) Zbl 1440.46025 Bull. Sci. Math. 159, Article ID 102825, 20 p. (2020). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 46E30 42B35 44A35 46B70 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, Bull. Sci. Math. 159, Article ID 102825, 20 p. (2020; Zbl 1440.46025) Full Text: DOI
Burenkov, V. I.; Chigambayeva, D. K.; Nursultanov, E. D. Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries. (English) Zbl 1448.46026 Complex Var. Elliptic Equ. 65, No. 1, 87-108 (2020). MSC: 46E30 46B70 42B35 42B20 47B06 47B38 47G10 PDFBibTeX XMLCite \textit{V. I. Burenkov} et al., Complex Var. Elliptic Equ. 65, No. 1, 87--108 (2020; Zbl 1448.46026) Full Text: DOI
Kopezhanova, Aigerim; Nursultanov, Erlan; Persson, Lars-Erik A new generalization of Boas theorem for some Lorentz spaces \(\Lambda_q(\omega)\). (English) Zbl 1410.46018 J. Math. Inequal. 12, No. 3, 619-633 (2018). MSC: 46E30 42A16 PDFBibTeX XMLCite \textit{A. Kopezhanova} et al., J. Math. Inequal. 12, No. 3, 619--633 (2018; Zbl 1410.46018) Full Text: DOI
Kopezhanova, Aigerim; Nursultanov, Erlan; Persson, Lars-Erik Some new two-sided inequalities concerning the Fourier transform. (English) Zbl 1391.42008 Math. Inequal. Appl. 20, No. 3, 855-864 (2017). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42A38 46E30 PDFBibTeX XMLCite \textit{A. Kopezhanova} et al., Math. Inequal. Appl. 20, No. 3, 855--864 (2017; Zbl 1391.42008) Full Text: DOI
Nursultanov, Erlan; Tikhonov, Sergey Weighted norm inequalities for convolution and Riesz potential. (English) Zbl 1307.31017 Potential Anal. 42, No. 2, 435-456 (2015). MSC: 31C15 44A35 46E30 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, Potential Anal. 42, No. 2, 435--456 (2015; Zbl 1307.31017) Full Text: DOI arXiv
Zhantakbaeva, A. M.; Nursultanov, E. D. Paley inequality for Bellman transform of multiple Fourier series. (English. Russian original) Zbl 1311.42018 Mosc. Univ. Math. Bull. 69, No. 3, 94-99 (2014); translation from Vestn. Mosk. Univ., Ser I 69, No. 3, 8-14 (2014). MSC: 42B08 42B05 46E30 PDFBibTeX XMLCite \textit{A. M. Zhantakbaeva} and \textit{E. D. Nursultanov}, Mosc. Univ. Math. Bull. 69, No. 3, 94--99 (2014; Zbl 1311.42018); translation from Vestn. Mosk. Univ., Ser I 69, No. 3, 8--14 (2014) Full Text: DOI
Burenkov, V. I.; Darbayeva, D. K.; Nursultanov, E. D. Description of interpolation spaces for general local Morrey-type spaces. (English) Zbl 1277.42026 Eurasian Math. J. 4, No. 1, 46-53 (2013). MSC: 42B35 46E30 47B38 46B70 PDFBibTeX XMLCite \textit{V. I. Burenkov} et al., Eurasian Math. J. 4, No. 1, 46--53 (2013; Zbl 1277.42026) Full Text: MNR
Nursultanov, E.; Tikhonov, S. A sharp Remez inequality for trigonometric polynomials. (English) Zbl 1280.41011 Constr. Approx. 38, No. 1, 101-132 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A17 41A44 42A05 46E30 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, Constr. Approx. 38, No. 1, 101--132 (2013; Zbl 1280.41011) Full Text: DOI Link
Nursultanov, Erlan; Tikhonov, Sergey Net spaces and boundedness of integral operators. (English) Zbl 1248.46025 J. Geom. Anal. 21, No. 4, 950-981 (2011). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 46E30 42B20 45P05 47G10 46B70 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, J. Geom. Anal. 21, No. 4, 950--981 (2011; Zbl 1248.46025) Full Text: DOI Link
Nursultanov, Erlan; Tikhonov, Sergey Convolution inequalities in Lorentz spaces. (English) Zbl 1235.44012 J. Fourier Anal. Appl. 17, No. 3, 486-505 (2011). Reviewer: Dashan Fan (Milwaukee) MSC: 44A35 46E30 47G10 PDFBibTeX XMLCite \textit{E. Nursultanov} and \textit{S. Tikhonov}, J. Fourier Anal. Appl. 17, No. 3, 486--505 (2011; Zbl 1235.44012) Full Text: DOI Backlinks: MO
Kopezhanova, A.; Nursultanov, E.; Persson, L.-E. Relations between summability of the Fourier coefficients in regular systems and functions from some Lorentz type spaces. (English) Zbl 1203.42003 Proc. A. Razmadze Math. Inst. 152, 73-88 (2010). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 42A16 46E30 PDFBibTeX XMLCite \textit{A. Kopezhanova} et al., Proc. A. Razmadze Math. Inst. 152, 73--88 (2010; Zbl 1203.42003) Full Text: Link
Bekmaganbetov, K. A.; Nursultanov, E. D. Interpolation of spaces \(B_{\sigma q}^{p\tau}(\mathbb R^n)\) and \(F_{\sigma q}^{p\tau}(\mathbb R^n)\) and applications. (Russian. English summary) Zbl 1199.46078 Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 1, 64-72 (2009). MSC: 46E35 46E30 46B70 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 1, 64--72 (2009; Zbl 1199.46078)
Nursultanov, Erlan; Tikhonov, Sergey; Tleukhanova, Nazerke Norm inequalities for convolution operators. (English) Zbl 1184.42005 C. R., Math., Acad. Sci. Paris 347, No. 23-24, 1385-1388 (2009). Reviewer: Julian Musielak (Poznań) MSC: 42A85 46E30 PDFBibTeX XMLCite \textit{E. Nursultanov} et al., C. R., Math., Acad. Sci. Paris 347, No. 23--24, 1385--1388 (2009; Zbl 1184.42005) Full Text: DOI
Bekmaganbetov, K. A.; Nursultanov, E. D. Embedding theorems for anisotropic Besov spaces \( B_{\mathbf{pr}}^{\alpha\mathbf{q}}( [ 0,2\pi)^n)\). (English. Russian original) Zbl 1187.46025 Izv. Math. 73, No. 4, 655-668 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 4, 3-16 (2009). MSC: 46E35 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Izv. Math. 73, No. 4, 655--668 (2009; Zbl 1187.46025); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 4, 3--16 (2009) Full Text: DOI
Bekmaganbetov, K. A.; Nursultanov, E. D. On interpolation and embedding theorems for the spaces \(\overset\ast{\mathfrak B}^{\sigma q}_{p\tau}(\Omega)\). (English. Russian original) Zbl 1219.46069 Math. Notes 84, No. 5, 733-736 (2008); translation from Mat. Zametki 84, No. 5, 788-790 (2008). MSC: 46M35 46B70 46E30 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Math. Notes 84, No. 5, 733--736 (2008; Zbl 1219.46069); translation from Mat. Zametki 84, No. 5, 788--790 (2008) Full Text: DOI
Darbaeva, D. K.; Nursultanov, E. D. Inequality of different metrics in anisotropic Lorentz spaces. (Russian. English summary) Zbl 1194.46043 Mat. Zh. 7, No. 4, 34-43 (2007). MSC: 46E30 41A44 PDFBibTeX XMLCite \textit{D. K. Darbaeva} and \textit{E. D. Nursultanov}, Mat. Zh. 7, No. 4, 34--43 (2007; Zbl 1194.46043)
Bekmaganbetov, K. A.; Nursultanov, E. D. The multiparameter interpolation method for anisotropic spaces and the interpolation of anisotropic Lebesgue spaces. (Russian. English summary) Zbl 1194.46032 Mat. Zh. 7, No. 1, 36-48 (2007). MSC: 46B70 46E30 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Mat. Zh. 7, No. 1, 36--48 (2007; Zbl 1194.46032)
Aubarikov, T. U.; Nursultanov, E. D. Spaces of stochastic processes, interpolation theorems. (English. Russian original) Zbl 1157.46013 Russ. Math. Surv. 61, No. 6, 1167-1169 (2006); translation from Usp. Mat. Nauk 61, No. 6, 181-182 (2006). MSC: 46E30 46M35 60G46 PDFBibTeX XMLCite \textit{T. U. Aubarikov} and \textit{E. D. Nursultanov}, Russ. Math. Surv. 61, No. 6, 1167--1169 (2006; Zbl 1157.46013); translation from Usp. Mat. Nauk 61, No. 6, 181--182 (2006) Full Text: DOI
Nursultanov, E. D. Interpolation theorems for anisotropic function spaces and their applications. (English. Russian original) Zbl 1127.46301 Dokl. Math. 69, No. 1, 16-19 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 22-25 (2004). MSC: 46B70 46E30 46E35 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Dokl. Math. 69, No. 1, 16--19 (2004; Zbl 1127.46301); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 22--25 (2004)
Nursultanov, E. D. On the coefficients of multiple Fourier series in \(L_p\)-spaces. (English. Russian original) Zbl 0976.42018 Izv. Math. 64, No. 1, 93-120 (2000); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 1, 95-122 (2000). Reviewer: Ferenc Móricz (Szeged) MSC: 42C15 42C30 46E30 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Izv. Math. 64, No. 1, 93--120 (2000; Zbl 0976.42018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 1, 95--122 (2000) Full Text: DOI
Kostyuchenko, A. G.; Nursultanov, E. D. On integral operators in \(L_{p}\)-spaces. (Russian. English summary) Zbl 0960.47017 Fundam. Prikl. Mat. 5, No. 2, 475-491 (1999). MSC: 47B38 47B34 47G10 47A30 PDFBibTeX XMLCite \textit{A. G. Kostyuchenko} and \textit{E. D. Nursultanov}, Fundam. Prikl. Mat. 5, No. 2, 475--491 (1999; Zbl 0960.47017) Full Text: Link
Nursultanov, E. D. Net spaces and the Fourier transform. (English. Russian original) Zbl 0961.46016 Dokl. Math. 58, No. 1, 105-107 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 5, 597-599 (1998). MSC: 46E30 42A38 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Dokl. Math. 58, No. 1, 597--599 (1998; Zbl 0961.46016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 5, 597--599 (1998)
Bekmaganbetov, K. A.; Nursultanov, E. D. The method of multi-parameter interpolation and imbedding theorems of Besov spaces \(B^{\overrightarrow{\alpha}}_{\overrightarrow{p}}[0,2{\pi})\). (Russian) Zbl 0933.46028 Anal. Math. 24, No. 4, 241-263 (1998). MSC: 46E30 46E35 46B70 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} and \textit{E. D. Nursultanov}, Anal. Math. 24, No. 4, 241--263 (1998; Zbl 0933.46028) Full Text: DOI
Nursultanov, E. D. Interpolation properties of some anisotropic spaces and Hardy-Littlewood type inequalities. (English) Zbl 0922.46023 East J. Approx. 4, No. 2, 277-290 (1998). Reviewer: D.Dryanov (Sofia) MSC: 46E30 46E35 46M35 46B70 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, East J. Approx. 4, No. 2, 277--290 (1998; Zbl 0922.46023)
Kostyuchenko, A. G.; Nursultanov, E. D. Theory of control of ‘catastrophes’. (English. Russian original) Zbl 0921.47026 Russ. Math. Surv. 53, No. 3, 628-629 (1998); translation from Usp. Mat. Nauk 53, No. 199-200 (1998). Reviewer: V.S.Rabinovich (Mexico) MSC: 47B38 46E30 45A05 PDFBibTeX XMLCite \textit{A. G. Kostyuchenko} and \textit{E. D. Nursultanov}, Russ. Math. Surv. 53, No. 3, 628--629 (1998; Zbl 0921.47026); translation from Usp. Mat. Nauk 53, No. 199--200 (1998) Full Text: DOI
Nursultanov, E. D. Net spaces and inequalities of Hardy-Littlewood type. (English. Russian original) Zbl 0922.46027 Sb. Math. 189, No. 3, 399-419 (1998); translation from Mat. Sb. 189, No. 3, 83-102 (1998). Reviewer: Ferenc Móricz (Szeged) MSC: 46E30 42A24 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Sb. Math. 189, No. 3, 399--419 (1998; Zbl 0922.46027); translation from Mat. Sb. 189, No. 3, 83--102 (1998) Full Text: DOI
Nursultanov, E. D. A lower bound for a Fourier transform multiplicator from \(M(L_p\to L_q)\). (English. Russian original) Zbl 0921.42011 Math. Notes 62, No. 6, 792-796 (1997); translation from Mat. Zametki 62, No. 6, 945-949 (1997). Reviewer: D.S.Kurtz (Las Cruces) MSC: 42B15 46E30 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Math. Notes 62, No. 6, 792--796 (1997; Zbl 0921.42011); translation from Mat. Zametki 62, No. 6, 945--949 (1997) Full Text: DOI
Nursultanov, E. D. A multi-parameter interpolation functor and the Lorentz space \(L_{p\vec q}\), \(\vec q=(q_1,\dots,q_n)\). (English. Russian original) Zbl 0973.46070 Funct. Anal. Appl. 31, No. 2, 136-138 (1997); translation from Funkts. Anal. Prilozh. 31, No. 2, 79-82 (1997). MSC: 46M35 46E30 PDFBibTeX XMLCite \textit{E. D. Nursultanov}, Funct. Anal. Appl. 31, No. 2, 136--138 (1997; Zbl 0973.46070); translation from Funkts. Anal. Prilozh. 31, No. 2, 79--82 (1997) Full Text: DOI