I am a postdoctoral fellow at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University. I am a member of the research group “Analysis and PDEs” of Prof. Michael Ruzhansky. I was a postdoctoral fellow at the University of New South Wales in Sydney, Australia, I obtained my PhD degree from the Al-Farabi Kazakh National University (Kazakhstan) in 2016 under the supervision of Prof. Turdebek N. Bekjan and Prof. Baltabek Kanguzhin. I work in the area of Functional analysis with a focus on intersection of operator theory and non-commutative integration theory. More precisely, my interest is focused on non-commutative rearrangement invariant (quasi-)Banach spaces of τ-measurable operators associated with von Neumann algebras and boundedness of linear operators on these spaces.
MathSciNet web page: https://mathscinet.ams.org/mathscinet/author?authorId=1092320
List of Publications:
30. Akhymbek, M.; Ruzhansky, M.; Tulenov, K. On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups. (2024), 1-40. arXiv:2404.08337
29. Ruzhansky, M.; Shaimardan, S.; Tulenov, K. H\”{o}rmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications. (2024), 1-41. http://arxiv.org/abs/2402.17353
28. Kakharman, N.; Tulenov, K. Rayleigh-Faber-Krahn and Hong-Krahn-Szeg\”{o} type inequalities for the heat operator. Complex Var. Elliptic Equ. (2024), 1-10. DOI: 10.1080/17476933.2024.2312516 (In Press)
27. Dauitbek, D.; Tulenov, K. Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of $\tau$-measurable operators. Positivity. 28 (2024), no. 12, 1-12.
26. Akhymbek, M.; Tulenov, K.; Zaur, G. Spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces. Quaest. Math. (2023), 1–19. DOI: 10.2989/16073606.2023.2281570
25. Ruzhansky, M.; Shaimardan, S.; Tulenov, K. Lp−Lq boundedness of Fourier multipliers on quantum Euclidean spaces. (2023), 1-25. 26. arXiv:2312.00657
24. Bliev, N. K.; Tulenov, K. S.; Yerkinbayev, N. M. Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces. Complex Var. Elliptic Equ. 68 (2023), no. 8, 1264–1285.
23. Tulenov, K. S. Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals. Quaest. Math. 46 (2023), no. 4, 813–831.
22. Kakharman, N.; Tulenov, K.; Zhumanova, L. On hyponormal and dissipative correct extensions and restrictions. Math. Methods Appl. Sci. 45 (2022), no. 16, 9049–9060.
21. Sukochev, F.; Tulenov, K.; Zanin, D. A weak type (1,1) estimate for the Hilbert operator in higher-dimensional setting. Studia Math. 265 (2022), no. 3, 241–256.
20. Kanguzhin, B. E.; Tulenov, K. S. Correctness of the definition of the Laplace operator with delta-like potentials. Complex Var. Elliptic Equ. 67 (2022), no. 4, 898–920.
19. Tulenov, K. S. Optimal rearrangement-invariant Banach function range for the Hilbert transform. Eurasian Math. J. 12 (2021), no. 2, 90–103.
18. Lykov, K. ; Sukochev, F.; Tulenov, K.; Usachev, A. Optimal pairs of symmetric spaces for the Calderón type operators. Pure Appl. Funct. Anal. 6 (2021), no. 3, 631–649.
17. Tulenov, K. S.; Zhumanova, L. K. An abstract theorem on completeness of systems of root vectors of correct restrictions. Adv. Oper. Theory 6 (2021), no. 2, Paper No. 32, 17 pp.
16. Sukochev, F.; Tulenov, K.; Zanin, D. The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications. Bull. Sci. Math. 167 (2021), Paper No. 102943, 22 pp.
15. Bliev, N. K.; Tulenov, K. S. Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces. Complex Var. Elliptic Equ. 66 (2021), no. 2, 336–346.
14. Nessipbayev, Y.; Tulenov, K. Non-commutative Hardy-Littlewood maximal operator on symmetric spaces of τ-measurable operators. Ann. Funct. Anal. 12 (2021), no. 1, Paper No. 11, 16 pp.
13. Kanguzhin, B. E.; Tulenov, K. S. Singular perturbations of Laplace operator and their resolvents. Complex Var. Elliptic Equ. 65 (2020), no. 9, 1433–1444.
12. Dauitbek, D.; Tulenov, K. Conditional expectation on non-ommutative H(r,s)p(A;ℓ∞) and Hp(A;ℓ1) spaces: semifinite case. Ann. Funct. Anal. 11 (2020), no. 3, 617–625.
11. Tulenov, K. The optimal symmetric quasi-Banach range of the discrete Hilbert transform. Arch. Math. 113 (2019), no. 6, 649–660.
10. Sukochev, F.; Tulenov, K.; Zanin, D. The optimal range of the Calderòn operator and its applications. J. Funct. Anal. 277 (2019), no. 10, 3513–3559.
9. Dauitbek, D.; Tulenov, K. On some inequalities of τ-measurable operators. Filomat 32 (2018), no. 3, 1127–1132.
8. Tulenov, K. S.; Zholymbayev, O. M. Non-commutative HE(A;ℓ∞) and HE(A;ℓ1) spaces. Filomat 32 (2018), no. 3, 955–964.
7. Tulenov, K. S.; Akhymbek, M. E.; Kassymov, A. A. Clarkson inequalities on Lp(G) space associated with compact Lie group. J. Pseudo-Differ. Oper. Appl. 9 (2018), no. 2, 443–450.
6. Sukochev, F.; Tulenov, K.; Zanin, D. Nehari-type theorem for non-commutative Hardy spaces. J. Geom. Anal. 27 (2017), no. 3, 1789–1802.
5. Tulenov, K. S.; Raikhan, M. Outer operators for the noncommutative symmetric Hardy spaces associated with finite subdiagonal algebra. Acta Math. Sci. Ser. B (Engl. Ed.) 37 (2017), no. 3, 799–805.
4. Bekjan, T. N.; Tulenov, K.; Dauitbek, D. The noncommutative H(r,s)p(A;ℓ∞) and Hp(A;ℓ1) spaces. Positivity 19 (2015), no. 4, 877–891.
3. Tulenov, K. S. Noncommutative vector-valued symmetric Hardy spaces. Russian Math. (Iz. VUZ) 59 (2015), no. 11, 74–79.
2. Kanguzhin, B.; Tokmagambetov, N.; Tulenov, K. Pseudo-differential operators generated by a non-local boundary value problem. Complex Var. Elliptic Equ. 60 (2015), no. 1, 107–117.
1. Dauitbek, D.; Tokmagambetov, N. E.; Tulenov, K. S. Commutator inequalities associated with polar decompositions of τ-measurable operators. Russian Math. (Iz. VUZ) 58 (2014), no. 7, 48–52.
MathSciNet: https://mathscinet.ams.org/mathscinet/2006/mathscinet/search/author.html?mrauthid=1092320&edit=true
Web of Science: https://www.webofscience.com/wos/woscc/summary/2a0f44b0-b40e-4f44-bc73-495feaae1327-a9485c24/relevance/1
Ghent Analysis & PDE Center 