By Mr Kanat Tulenov

Journal articles

Ozbekbay B; Tastankul R; Tulenov K, 2026, 'Optimal L 2 L^{2} -time decay of the mild solution to the diffusion equation in the noncommutative Euclidean space', Proceedings of the American Mathematical Society, 154, pp. 3943 - 3957, http://dx.doi.org/10.1090/proc/17731

Ruzhansky M; Shaimardan S; Tulenov K, 2026, 'Hörmander Type Fourier Multiplier Theorem and Nikolskii Inequality on Quantum Tori, and Applications', Journal of Fourier Analysis and Applications, 32, http://dx.doi.org/10.1007/s00041-025-10217-z

Shaimardan S; Tastankul RA; Tulenov KS, 2026, 'Fourier multiplier on noncommutative torus and its applications to nonlinear equations', Mathematische Zeitschrift, 312, http://dx.doi.org/10.1007/s00209-025-03899-0

Ruzhansky M; Shaimardan S; Tulenov K, 2026, 'Lp–Lq boundedness of Fourier multipliers on quantum Euclidean spaces', Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 120, http://dx.doi.org/10.1007/s13398-025-01798-x

Ruzhansky M; Shaimardan S; Tulenov K, 2025, 'Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces', Journal of Functional Analysis, 289, http://dx.doi.org/10.1016/j.jfa.2025.111143

Ruzhansky M; Shaimardan S; Tulenov K, 2025, 'Fourier multipliers and their applications to PDE on the quantum Euclidean space', Nonlinear Differential Equations and Applications, 32, http://dx.doi.org/10.1007/s00030-025-01067-1

Ruzhansky M; Tulenov K, 2025, 'A note on Lp-Lq boundedness of Fourier multipliers on noncommutative spaces', Advances in Operator Theory, 10, http://dx.doi.org/10.1007/s43036-025-00436-y

Sukochev F; Tulenov K; Zanin D, 2025, 'Sobolev projection on quantum torus, its complete boundedness and applications', Journal of Mathematical Analysis and Applications, 543, http://dx.doi.org/10.1016/j.jmaa.2024.128906

Akhymbek M; Tulenov K, 2025, 'Uniform convexity and uniform smoothness of ℓᵖ(Ĝ) spaces based on the Hilbert-Schmidt ideal.', Kazakh Mathematical Journal, 24, pp. 6 - 13, http://dx.doi.org/10.70474/kmj-2024-1-01

Kakharman N; Tulenov K, 2025, 'Rayleigh–Faber–Krahn and Hong–Krahn–Szegö-type inequalities for the absolute value of the heat operator', Complex Variables and Elliptic Equations, 70, pp. 500 - 511, http://dx.doi.org/10.1080/17476933.2024.2312516

Akhymbek M; Tulenov K; Ozbekbay B, 2025, 'Spectrum of the Hilbert transform on Lorentz spaces Lp,q', Complex Variables and Elliptic Equations, 70, pp. 1555 - 1566, http://dx.doi.org/10.1080/17476933.2024.2413126

Dauitbek D; Tulenov KS, 2024, 'Extensions of Nazarov–Podkorytov lemma in non-commutative spaces of τ-measurable operators', Positivity, 28, http://dx.doi.org/10.1007/s11117-024-01029-4

Akhymbek M; Tulenov K; Zaur G, 2024, 'Spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces', Quaestiones Mathematicae, 47, pp. 1157 - 1175, http://dx.doi.org/10.2989/16073606.2023.2281570

Tulenov KS, 2023, 'Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals', Quaestiones Mathematicae, 46, pp. 813 - 831, http://dx.doi.org/10.2989/16073606.2022.2043481

Bliev NK; Tulenov KS; Yerkinbayev NM, 2023, 'Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces', Complex Variables and Elliptic Equations, 68, pp. 1264 - 1285, http://dx.doi.org/10.1080/17476933.2022.2045975

Kakharman N; Tulenov K; Zhumanova L, 2022, 'On hyponormal and dissipative correct extensions and restrictions', Mathematical Methods in the Applied Sciences, 45, pp. 9049 - 9060, http://dx.doi.org/10.1002/mma.8292

Sukochev F; Tulenov K; Zanin D, 2022, 'A weak type (1, 1) estimate for the Hilbert operator in higher-dimensional setting', Studia Mathematica, 265, pp. 241 - 256, http://dx.doi.org/10.4064/sm201201-4-11

Kanguzhin BE; Tulenov KS, 2022, 'Correctness of the definition of the Laplace operator with delta-like potentials', Complex Variables and Elliptic Equations, 67, pp. 898 - 920, http://dx.doi.org/10.1080/17476933.2020.1849164

Tulenov KS; Zhumanova LK, 2021, 'An abstract theorem on completeness of systems of root vectors of correct restrictions', Advances in Operator Theory, 6, http://dx.doi.org/10.1007/s43036-021-00137-2

Nessipbayev Y; Sukochev F; Tulenov K, 2021, 'Non-commutative analogues of weak compactness criteria in symmetric spaces', Advances in Operator Theory, 6, http://dx.doi.org/10.1007/s43036-021-00129-2

Sukochev F; Tulenov K; Zanin D, 2021, 'The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications', Bulletin Des Sciences Mathematiques, 167, http://dx.doi.org/10.1016/j.bulsci.2020.102943

Bliev NK; Tulenov KS, 2021, 'Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces', Complex Variables and Elliptic Equations, 66, pp. 336 - 346, http://dx.doi.org/10.1080/17476933.2020.1722113

Nessipbayev Y; Tulenov K, 2021, 'Non-commutative Hardy–Littlewood maximal operator on symmetric spaces of τ -measurable operators', Annals of Functional Analysis, 12, http://dx.doi.org/10.1007/s43034-020-00097-3

Lykov KV; Sukochev FA; Tulenov KS; Usachev AS, 2021, 'OPTIMAL PAIRS OF SYMMETRIC SPACES FOR THE CALDERÓN TYPE OPERATORS', Pure and Applied Functional Analysis, 6, pp. 631 - 649

Tulenov KS, 2021, 'OPTIMAL REARRANGEMENT-INVARIANT BANACH FUNCTION RANGE FOR THE HILBERT TRANSFORM', Eurasian Mathematical Journal, 12, pp. 01 - 23, http://dx.doi.org/10.32523/2077-9879-2021-12-2-90-103

Kanguzhin BE; Tulenov KS, 2020, 'Singular perturbations of Laplace operator and their resolvents', Complex Variables and Elliptic Equations, 65, pp. 1433 - 1444, http://dx.doi.org/10.1080/17476933.2019.1655551

Dauitbek D; Tulenov K, 2020, 'Conditional expectation on non-commutative Hp(r,s)(A;ℓ∞) and Hp(A; ℓ1) spaces: semifinite case', Annals of Functional Analysis, 11, pp. 617 - 625, http://dx.doi.org/10.1007/s43034-019-00042-z

Tulenov K, 2019, 'The optimal symmetric quasi-Banach range of the discrete Hilbert transform', Archiv Der Mathematik, 113, pp. 649 - 660, http://dx.doi.org/10.1007/s00013-019-01375-w

Sukochev F; Tulenov K; Zanin D, 2019, 'The optimal range of the Calderòn operator and its applications', Journal of Functional Analysis, 277, pp. 3513 - 3559, http://dx.doi.org/10.1016/j.jfa.2019.05.012

Tulenov KS; Akhymbek ME; Kassymov AA, 2018, 'Clarkson inequalities on Lp(Ĝ) space associated with compact Lie group', Journal of Pseudo Differential Operators and Applications, 9, pp. 443 - 450, http://dx.doi.org/10.1007/s11868-017-0187-y

Tulenov KS; Zholymbayev OM, 2018, 'Non-Commutative HE(A;l∞) and HE(A;l1) Spaces', Filomat, 32, pp. 955 - 964, http://dx.doi.org/10.2298/FIL1803955T

Tulenov KS; Dauitbek D, 2018, 'On some inequalities of τ-measurable operators', Filomat, 32, pp. 1127 - 1132, http://dx.doi.org/10.2298/FIL1803127T

Sukochev F; Tulenov K; Zanin D, 2017, 'Nehari-Type Theorem for Non-commutative Hardy Spaces', Journal of Geometric Analysis, 27, pp. 1789 - 1802, http://dx.doi.org/10.1007/s12220-016-9740-9

TULENOV KS; RAIKHAN M, 2017, 'Outer operators for the noncommutative symmetric hardy spaces associated with finite subdiagonal algebra', Acta Mathematica Scientia, 37, pp. 799 - 805, http://dx.doi.org/10.1016/S0252-9602(17)30038-3

Bekjan TN; Tulenov K; Dauitbek D, 2015, 'The noncommutative Hp(r,s)(A; ℓ∞) and Hp(A; ℓ1) spaces', Positivity, 19, pp. 877 - 891, http://dx.doi.org/10.1007/s11117-015-0332-x

Tulenov KS, 2015, 'Noncommutative vector-valued symmetric Hardy spaces', Russian Mathematics, 59, pp. 74 - 79, http://dx.doi.org/10.3103/S1066369X15110092

Kanguzhin B; Tokmagambetov N; Tulenov K, 2015, 'Pseudo-differential operators generated by a non-local boundary value problem', Complex Variables and Elliptic Equations, 60, pp. 107 - 117, http://dx.doi.org/10.1080/17476933.2014.896351

Dauitbek D; Tokmagambetov NE; Tulenov KS, 2014, 'Commutator inequalities associated with polar decompositions of τ-measurable operators', Russian Mathematics, 58, pp. 48 - 52, http://dx.doi.org/10.3103/S1066369X14070056

Preprints

Sukochev F; Tulenov K; Zanin D, 2026, Optimal distributional estimates of the multiple Hilbert transform, http://dx.doi.org/10.48550/arxiv.2606.02910

Sukochev F; Tastankul R; Tulenov K; Zanin D, 2026, Fractional Sobolev embeddings on noncommutative torus, http://dx.doi.org/10.48550/arxiv.2606.03185

Ozbekbay B; Sukochev F; Tulenov K, 2026, Trigonometric bases in noncommutative $L_p(\mathbb{T}^d_θ)$ spaces and associated partial sum operators, http://dx.doi.org/10.48550/arxiv.2606.19360

McDonald E; Ruzhansky M; Shaimardan S; Tulenov K, 2026, Fujita exponents on quantum Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2601.16053

Akylzhanov R; Ruzhansky M; Tulenov K, 2026, Hormander-Mikhlin type theorem on non-commutative spaces, http://dx.doi.org/10.48550/arxiv.2503.01240

Ruzhansky M; Shaimardan S; Tulenov K, 2025, Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications, http://dx.doi.org/10.48550/arxiv.2402.17353

Ruzhansky M; Shaimardan S; Tulenov K, 2025, $L^p -L^q$ boundedness of Fourier multipliers on quantum Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2312.00657

Ruzhansky M; Shaimardan S; Tulenov K, 2025, Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2408.09100

Ruzhansky M; Shaimardan S; Tulenov K, 2025, Fourier multipliers and their applications to PDE on the quantum Euclidean space, http://dx.doi.org/10.48550/arxiv.2504.07604

Ruzhansky M; Tulenov K, 2025, A note on $L^p$-$L^q$ boundedness of Fourier multipliers on noncommutative spaces, http://dx.doi.org/10.48550/arxiv.2408.08643

Sukochev F; Tulenov K; Zanin D, 2020, Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548], http://dx.doi.org/10.48550/arxiv.2004.13311

Nessipbayev Y; Tulenov K, 2020, The non-commutative Hardy-Littlewood maximal function on symmetric spaces of $τ-$measurable operators, http://dx.doi.org/10.48550/arxiv.2002.04413

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