Select Publications
Journal articles
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
,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, 'Connes integration formula: a constructive approach', 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 ℓ
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, 'L
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, https://www.ams.org/journals/bproc/2021-08-04/S2330-1511-2021-00070-6/S2330-1511-2021-00070-6.pdf
,2020, 'On subspaces spanned by freely independent random variables in noncommutative L
2020, 'Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for τ -Measurable operators: Part I', Integral Equations and Operator Theory, 92, http://dx.doi.org/10.1007/s00020-020-02585-6
,2020, 'BMO-estimates for non-commutative vector valued Lipschitz functions', Journal of Functional Analysis, 278, http://dx.doi.org/10.1016/j.jfa.2019.108317
,2020, 'Cwikel estimates revisited', Proceedings of the London Mathematical Society, 120, pp. 265 - 304, http://dx.doi.org/10.1112/plms.12301
,2020, 'INVARIANT BANACH LIMITS AND APPLICATIONS TO NONCOMMUTATIVE GEOMETRY', Pacific Journal of Mathematics, 306, pp. 357 - 373, http://dx.doi.org/10.2140/pjm.2020.306.357
,2020, 'Rosenthal’s inequalities: ∆-norms and quasi-Banach symmetric sequence spaces', Studia Mathematica, 255, pp. 55 - 81, http://dx.doi.org/10.4064/sm190503-28-10
,2020, 'Sums of independent and freely independent identically distributed random variables', Studia Mathematica, 251, pp. 289 - 315, http://dx.doi.org/10.4064/sm180912-31-12
,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
,2019, 'Logarithmic submajorisation and order-preserving linear isometries', Journal of Functional Analysis, http://dx.doi.org/10.1016/j.jfa.2019.108352
,2019, 'Conformal trace theorem for Julia sets of quadratic polynomials', Ergodic Theory and Dynamical Systems, 39, pp. 2481 - 2506, http://dx.doi.org/10.1017/etds.2017.124
,2019, 'Noncommutative geometry for symmetric non-self-adjoint operators', Journal of Functional Analysis, 277, pp. 889 - 936, http://dx.doi.org/10.1016/j.jfa.2018.12.012
,2019, 'WEAK TYPE COMMUTATOR AND LIPSCHITZ ESTIMATES: RESOLUTION OF THE NAZAROV-PELLER CONJECTURE', AMERICAN JOURNAL OF MATHEMATICS, 141, pp. 593 - 610, http://dx.doi.org/10.1353/ajm.2019.0019
,2019, 'Sign of a perturbed massive Dirac operator and associated Fredholm module', Journal of Geometry and Physics, 136, pp. 244 - 267, http://dx.doi.org/10.1016/j.geomphys.2018.09.017
,2019, 'A C ∗ -algebraic approach to the principal symbol II', Mathematische Annalen, http://dx.doi.org/10.1007/s00208-019-01822-7
,2019, 'Dilation invariant Banach limits', Indagationes Mathematicae, http://dx.doi.org/10.1016/j.indag.2019.12.003
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