By Dr Dmitriy Zanin

Journal articles

Huang J; Nessipbayev Y; Sukochev F; Zanin D, 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

Huang J; Junge M; Sukochev F; Zanin D, 2025, 'Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras', Israel Journal of Mathematics, 268, pp. 73 - 116, http://dx.doi.org/10.1007/s11856-025-2743-0

Sukochev F; Yang F; Zanin D, 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

Sukochev F; Zanin D, 2025, 'Regular traces on ideals in L(H)', Advances in Operator Theory, 10, http://dx.doi.org/10.1007/s43036-025-00446-w

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

van Nuland T; Sukochev F; Zanin D, 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

Sukochev F; Yang F; Zanin D; Zhou D, 2025, 'Optimal distribution estimates for commutators and Marcinkiewicz multipliers', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-025-03306-3

Huang J; Sadovskaya O; Sukochev F; Zanin D, 2025, 'Lack of isomorphic embeddings of sequence space ℓ, into L p , q ( M , τ ) over a noncommutative probability space', Advances in Mathematics, 482, pp. 110571 - 110571, http://dx.doi.org/10.1016/j.aim.2025.110571

Jiao Y; Luo S; Zanin D; Zhou D, 2024, 'Noncommutative Logarithmic Sobolev Inequalities', Communications in Mathematical Physics, 405, http://dx.doi.org/10.1007/s00220-024-05145-w

Zanin D, 2024, 'Criterion for ellipticity on Heisenberg group', Annals of Functional Analysis, 15, http://dx.doi.org/10.1007/s43034-024-00375-4

Frank RL; Sukochev F; Zanin D, 2024, 'Endpoint Schatten class properties of commutators', Advances in Mathematics, 450, http://dx.doi.org/10.1016/j.aim.2024.109738

Jiao Y; Quan X; Sukochev F; Zanin D, 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

Kordyukov Y; Sukochev F; Zanin D, 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

Fan Z; Li J; McDonald E; Sukochev F; Zanin D, 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

Scheckter TT; Sukochev F; Zanin D, 2024, 'Generalised noncommutative subsequence principles', Studia Mathematica, 276, pp. 19 - 45, http://dx.doi.org/10.4064/sm230228-7-2

Sukochev F; Zanin D, 2024, 'LOCAL INVARIANTS OF NONCOMMUTATIVE TORI', St Petersburg Mathematical Journal, 35, pp. 377 - 415, http://dx.doi.org/10.1090/spmj/1808

Cadilhac L; Sukochev F; Zanin D, 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

Matin D; Nessipbayev Y; Sukochev F; Zanin D, 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

Astashkin S; Huang J; Pliev M; Sukochev F; Zanin D, 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

McDonald E; Sukochev F; Zanin D, 2023, 'Spectral estimates and asymptotics for stratified Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110105

Ber A; Sukochev F; Zanin D; Zhao H, 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

Sukochev F; Xiong X; Zanin D, 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

Jiao Y; Zanin D; Zhou D, 2023, 'Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.109949

Sukochev F; Zanin D, 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

Akhymbek M; Zanin D, 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

Sukochev F; Zanin D, 2023, 'Optimal Cwikel–Solomyak Estimates', Journal of Fourier Analysis and Applications, 29, http://dx.doi.org/10.1007/s00041-023-10003-9

Sukochev F; Zanin D, 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

Frank RL; Sukochev F; Zanin D, 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

Zanin DV; Sukochev FA, 2023, 'Connes Integration Formula: A Constructive Approach', Functional Analysis and Its Applications, 57, pp. 40 - 59, http://dx.doi.org/10.1134/S0016266323010045

Jiao Y; Sukochev F; Wu L; Zanin D, 2023, 'Distributional inequalities for noncommutative martingales', Journal of Functional Analysis, 284, http://dx.doi.org/10.1016/j.jfa.2022.109798

Sukochev F; Zanin D, 2023, 'THE INTRODUCTION', ASTERISQUE, pp. 1 - +

Zanin DV; Sukochev FA, 2023, 'Формула интегрирования Конна - конструктивный подход', Функциональный анализ и его приложения, 57, pp. 52 - 76, http://dx.doi.org/10.4213/faa4025

Azamov N; McDonald E; Sukochev F; Zanin D, 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

Jiao Y; Sukochev F; Xie G; Zanin D, 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

Azamov N; Hekkelman E; McDonald E; Sukochev F; Zanin D, 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

Astashkin S; Sukochev F; Zanin D, 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

McDonald E; Sukochev F; Zanin D, 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

Semenov E; Sukochev F; Zanin D, 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

Huang J; Sukochev F; Zanin D, 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

Huang J; Sukochev F; Zanin D, 2022, 'Optimal estimates for martingale transforms', Journal of Functional Analysis, 282, http://dx.doi.org/10.1016/j.jfa.2022.109451

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

Sukochev FA; Zanin DV, 2022, 'Solomyak-type eigenvalue estimates for the Birman-Schwinger operator', Sbornik Mathematics, 213, pp. 1250 - 1289, http://dx.doi.org/10.4213/sm9732e

Sukochev FA; Zanin DV, 2022, 'Оценки Соломяка для оператора Бирмана-Швингера', Математический сборник, 213, pp. 97 - 137, http://dx.doi.org/10.4213/sm9732

Caspers M; Sukochev F; Zanin D, 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

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

Sukochev F; Zanin D, 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

Lord S; Sukochev F; Zanin D, 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

Pliev M; Sukochev F; Zanin D, 2020, 'Lp- Bounds for the Krein Spectral Shift Function: 0, Russian Journal of Mathematical Physics, 27, pp. 491 - 499, http://dx.doi.org/10.1134/S1061920820040093

Charlesworth I; Dykema K; Sukochev F; Zanin D, 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

Dodds PG; Dodds TK; Sukochev FA; Zanin D, 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

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