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Preprints
, 2026, Optimal distributional estimates of the multiple Hilbert transform, http://dx.doi.org/10.48550/arxiv.2606.02910
, 2026, Schur Multipliers with Unequal Operator and Completely Bounded Norms on $S_p$, $1 , http://dx.doi.org/10.48550/arxiv.2608.20933 , 2026, The Daugavet property in symmetric operator spaces, http://dx.doi.org/10.48550/arxiv.2608.30491 , 2026, Isometries of Haagerup--Schultz algebras, http://dx.doi.org/10.48550/arxiv.2608.27832 , 2026, Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2608.18460 , 2026, Fractional Sobolev embeddings on noncommutative torus, http://dx.doi.org/10.48550/arxiv.2606.03185 , 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 , 2026, Weyl asymptotic formulas in the nilpotent Lie group setting, http://dx.doi.org/10.48550/arxiv.2605.09306 , 2026, Schur bounded patterns and submajorisation, http://dx.doi.org/10.48550/arxiv.2605.07564 , 2025, Fuglede theorem for symmetric spaces of $τ$-measurable operators, http://dx.doi.org/10.48550/arxiv.2512.14006 , 2025, Uniformity of Maximal Hypoellipticity on Graded Lie Groups: From Pointwise to Global, http://dx.doi.org/10.48550/arxiv.2512.12646 , 2025, Singular value asymptotics on compact smooth Riemaniann manifolds, http://dx.doi.org/10.48550/arxiv.2512.02365 , 2025, Rank metric isometries and determinant-preserving mappings on II$_1$-factors, http://dx.doi.org/10.48550/arxiv.2506.11428 , 2025, Noncommutative sharp dual Doob inequalities, http://dx.doi.org/10.48550/arxiv.2501.07064 , 2024, Kuroda's theorem for $n$-tuples in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2409.15852 , 2024, Spectral asymptotic formula of Bessel--Riesz commutator, http://dx.doi.org/10.48550/arxiv.2411.14928 , 2024, A $C^{*}$-Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds, http://dx.doi.org/10.48550/arxiv.2410.22125 , 2024, Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus, http://dx.doi.org/10.48550/arxiv.2408.13094 , 2024, Diagonality modulo symmetric spaces in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2404.00259 , 2024, Endpoint Schatten class properties of commutators, http://dx.doi.org/10.48550/arxiv.2405.10652 , 2024, Lack of isomorphic embeddings of $\ell_{p,q}$ into $L_{p,q}(\mathcal{M},τ)$ over a noncommutative probability space, http://dx.doi.org/10.48550/arxiv.2404.06761 , 2024, Weak compactness criteria in $L_1$ space in terms of Orlicz function, http://dx.doi.org/10.48550/arxiv.2004.12578 , 2023, $C^{\ast}$-algebraic approach to the principal symbol. III, http://dx.doi.org/10.48550/arxiv.2309.04500 , 2023, Commutator estimates for normal operators in factors with applications to derivations, http://dx.doi.org/10.48550/arxiv.2304.10775 , 2023, Local invariants of conformally deformed non-commutative tori II: multiple operator integrals, http://dx.doi.org/10.48550/arxiv.2303.04686 , 2022, Asymptotics of singular values for quantum derivatives, http://dx.doi.org/10.48550/arxiv.2209.12559 , 2022, Isomorphic classification of $L_{p,q}$-spaces, II, http://dx.doi.org/10.48550/arxiv.2008.11399 , 2022, Optimality of Cwikel-Solomyak estimates in Orlicz spaces, http://dx.doi.org/10.48550/arxiv.2208.05084 , 2022, An Application of Singular Traces to Crystals and Percolation, http://dx.doi.org/10.48550/arxiv.2202.03676 , 2022, Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups, http://dx.doi.org/10.48550/arxiv.2201.12350 , 2022, Operator $θ$-Hölder functions with respect to $\left\|\cdot\right\|_p$, $0< p\le \infty$, http://dx.doi.org/10.48550/arxiv.2110.09708 , 2022, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812 , 2022, Optimal range of Haar martingale transforms and its applications, http://dx.doi.org/10.48550/arxiv.2202.07154 , 2022, Spectral estimates and asymptotics for stratified Lie groups, http://dx.doi.org/10.48550/arxiv.2201.12349 , 2021, A multidimensional solution to additive homological equations, http://dx.doi.org/10.48550/arxiv.2107.11248 , 2021, The density of states depends on the domain, http://dx.doi.org/10.48550/arxiv.2107.09828 , 2021, Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry, http://dx.doi.org/10.48550/arxiv.2106.02235 , 2021, The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators, http://dx.doi.org/10.48550/arxiv.2105.03024 , 2021, Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach, http://dx.doi.org/10.48550/arxiv.2104.06567 , 2021, Connes Integration Formula without singular traces, http://dx.doi.org/10.48550/arxiv.2103.08817 , 2021, Distributional inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.2103.08847 , 2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145 , 2020, Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited, http://dx.doi.org/10.48550/arxiv.2009.02145 , 2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2008.04494 , 2020, Lack of isomorphic embeddings of symmetric function spaces into operator ideals, http://dx.doi.org/10.48550/arxiv.2007.03907 , 2020, When do triple operator integrals take value in the trace class?, http://dx.doi.org/10.48550/arxiv.1706.01662 , 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 , 2020, Alberti--Uhlmann problem on Hardy--Littlewood--Pólya majorization, https://arxiv.org/abs/2004.03197v2 , 2020, Extreme points of the set of elements majorised by an integrable function: Resolution of a problem by Luxemburg and of its noncommutative counterpart, http://dx.doi.org/10.48550/arxiv.1904.06068 , 2020, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380