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Journal articles
, 2025, 'Compactness criteria in quasi-Banach symmetric operator spaces associated with a non-commutative torus', Journal of Functional Analysis, 289, http://dx.doi.org/10.1016/j.jfa.2025.110946
, 2025, 'GAGLIARDO–NIRENBERG INTERPOLATION INEQUALITY FOR SYMMETRIC SPACES ON NONCOMMUTATIVE TORUS', Proceedings of the American Mathematical Society, 153, pp. 3125 - 3135, http://dx.doi.org/10.1090/proc/17229
, 2025, 'Regular traces on ideals in L(H)', Advances in Operator Theory, 10, http://dx.doi.org/10.1007/s43036-025-00446-w
, 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
, 2025, 'Local invariants of conformally deformed non-commutative tori II: Multiple operator integrals', Journal of Functional Analysis, 288, http://dx.doi.org/10.1016/j.jfa.2024.110754
, 2025, 'Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras', Israel Journal of Mathematics, http://dx.doi.org/10.1007/s11856-025-2743-0
, 2024, 'Noncommutative Logarithmic Sobolev Inequalities', Communications in Mathematical Physics, 405, http://dx.doi.org/10.1007/s00220-024-05145-w
, 2024, 'Criterion for ellipticity on Heisenberg group', Annals of Functional Analysis, 15, http://dx.doi.org/10.1007/s43034-024-00375-4
, 2024, 'Endpoint Schatten class properties of commutators', Advances in Mathematics, 450, http://dx.doi.org/10.1016/j.aim.2024.109738
, 2024, 'On noncommutative distributional Khintchine type inequalities', Bulletin of the London Mathematical Society, 56, pp. 2278 - 2295, http://dx.doi.org/10.1112/blms.13055
, 2024, 'C *-algebraic approach to the principal symbol. III', Journal of Noncommutative Geometry, 18, pp. 1265 - 1314, http://dx.doi.org/10.4171/JNCG/553
, 2024, 'Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups', Journal of Functional Analysis, 286, http://dx.doi.org/10.1016/j.jfa.2023.110188
, 2024, 'Generalised noncommutative subsequence principles', Studia Mathematica, 276, pp. 19 - 45, http://dx.doi.org/10.4064/sm230228-7-2
, 2024, 'LOCAL INVARIANTS OF NONCOMMUTATIVE TORI', St Petersburg Mathematical Journal, 35, pp. 377 - 415, http://dx.doi.org/10.1090/spmj/1808
, 2024, 'LORENTZ–SHIMOGAKI AND ARAZY–CWIKEL THEOREMS REVISITED', Pacific Journal of Mathematics, 328, pp. 227 - 254, http://dx.doi.org/10.2140/pjm.2024.328.227
, 2024, 'WEAK GROTHENDIECK COMPACTNESS PRINCIPLE FOR SYMMETRIC SPACES', Pacific Journal of Mathematics, 333, pp. 127 - 154, http://dx.doi.org/10.2140/pjm.2024.333.127
, 2023, 'Optimal Range of Haar Martingale Transforms and Its Applications', International Mathematics Research Notices, 2023, pp. 20827 - 20854, http://dx.doi.org/10.1093/imrn/rnac273
, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110105
, 2023, 'Diagonality modulo hybrid Lorentz-(p,1) ideals in semifinite factors', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110071
, 2023, 'Asymptotics of singular values for quantised derivatives on noncommutative tori', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110021
, 2023, 'Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.109949
, 2023, 'SYMMETRIC BANACH SEQUENCE SPACES RESPECT WEYL SUBMAJORIZATION', Proceedings of the American Mathematical Society, 151, pp. 2907 - 2917, http://dx.doi.org/10.1090/proc/15791
, 2023, 'Approximation formula for a propagator in symmetrically normed ideals', Journal of Mathematical Analysis and Applications, 522, http://dx.doi.org/10.1016/j.jmaa.2022.126996
, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29, http://dx.doi.org/10.1007/s00041-023-10003-9
, 2023, 'Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry', Journal D Analyse Mathematique, 149, pp. 555 - 562, http://dx.doi.org/10.1007/s11854-022-0257-9
, 2023, 'ASYMPTOTICS OF SINGULAR VALUES FOR QUANTUM DERIVATIVES', Transactions of the American Mathematical Society, 376, pp. 2047 - 2088, http://dx.doi.org/10.1090/tran/8827
, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and Its Applications, 57, pp. 40 - 59, http://dx.doi.org/10.1134/S0016266323010045
, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284, http://dx.doi.org/10.1016/j.jfa.2022.109798
, 2023, 'Формула интегрирования Конна - конструктивный подход', Функциональный анализ и его приложения, 57, pp. 52 - 76, http://dx.doi.org/10.4213/faa4025
, 2022, 'THE DENSITY OF STATES DEPENDS ON THE DOMAIN', Operators and Matrices, 16, pp. 1185 - 1189, http://dx.doi.org/10.7153/oam-2022-16-77
, 2022, 'Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces', International Mathematics Research Notices, 2022, pp. 16634 - 16671, http://dx.doi.org/10.1093/imrn/rnab197
, 2022, 'An application of singular traces to crystals and percolation', Journal of Geometry and Physics, 179, http://dx.doi.org/10.1016/j.geomphys.2022.104608
, 2022, 'The distribution of a random variable whose independent copies span ℓM is unique', Revista Matematica Complutense, 35, pp. 815 - 834, http://dx.doi.org/10.1007/s13163-021-00406-x
, 2022, 'A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry', Letters in Mathematical Physics, 112, http://dx.doi.org/10.1007/s11005-022-01568-5
, 2022, 'Independent sequences, monotonicity of Banach limits and applications to noncommutative geometry', Journal of Mathematical Analysis and Applications, 510, http://dx.doi.org/10.1016/j.jmaa.2022.126043
, 2022, 'Operator θ-Hölder functions with respect to (Formula presented.)', Journal of the London Mathematical Society, 105, pp. 2436 - 2477, http://dx.doi.org/10.1112/jlms.12565
, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, 282, http://dx.doi.org/10.1016/j.jfa.2022.109451
, 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
, 2022, 'Solomyak-type eigenvalue estimates for the Birman-Schwinger operator', Sbornik Mathematics, 213, pp. 1250 - 1289, http://dx.doi.org/10.4213/sm9732e
, 2022, 'Оценки Соломяка для оператора Бирмана-Швингера', Математический сборник, 213, pp. 97 - 137, http://dx.doi.org/10.4213/sm9732
, 2021, 'Weak (1,1) estimates for multiple operator integrals and generalized absolute value functions', Israel Journal of Mathematics, 244, pp. 245 - 271, http://dx.doi.org/10.1007/s11856-021-2179-0
, 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
, 2021, 'Optimal constants in non-commutative hölder inequality for quasi-norms', Proceedings of the American Mathematical Society, 149, pp. 3813 - 3817, http://dx.doi.org/10.1090/proc/15442
, 2020, 'A last theorem of Kalton and finiteness of Connes' integral', Journal of Functional Analysis, 279, http://dx.doi.org/10.1016/j.jfa.2020.108664
, 2020, 'Lp- Bounds for the Krein Spectral Shift Function: 0
, 2020, 'Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra', Canadian Journal of Mathematics, 72, pp. 1188 - 1245, http://dx.doi.org/10.4153/S0008414X19000282
, 2020, 'Logarithmic submajorization, uniform majorization and Hölder type inequalities for τ-measurable operators', Indagationes Mathematicae, 31, pp. 809 - 830, http://dx.doi.org/10.1016/j.indag.2020.02.004
, 2020, 'A Dixmier Trace Formula for the Density of States', Communications in Mathematical Physics, 377, pp. 2597 - 2628, http://dx.doi.org/10.1007/s00220-020-03756-7
, 2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable Operators: Part II', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02586-5
, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70