Select Publications
Preprints
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 $L_{p,q}(\mathcal{M},\tau)$ over a noncommutative probability space, http://dx.doi.org/10.48550/arxiv.2404.06761
,2024, Diagonality modulo symmetric spaces in semifinite von Neumann algebras, http://dx.doi.org/10.48550/arxiv.2404.00259
,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, Optimal range of Haar martingale transforms and its applications, http://arxiv.org/abs/2202.07154v1
,2022, An Application of Singular Traces to Crystals and Percolation, http://dx.doi.org/10.1016/j.geomphys.2022.104608
,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, 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, Distributional inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.2103.08847
,2021, Connes Integration Formula without singular traces, http://dx.doi.org/10.48550/arxiv.2103.08817
,2021, The Witten index and the spectral shift function, http://dx.doi.org/10.48550/arxiv.2101.06812
,2020, Cwikel-Solomyak estimates on tori and Euclidean spaces, http://dx.doi.org/10.48550/arxiv.2008.04494
,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, Weak compactness criteria in $L_1$ space in terms of Orlicz function, http://dx.doi.org/10.48550/arxiv.2004.12578
,2020, Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions, http://dx.doi.org/10.48550/arxiv.2004.02145
,2020, Non-existence of translation-invariant derivations on algebras of measurable functions, http://dx.doi.org/10.48550/arxiv.2002.00590
,2019, Full proof of Kwapień's theorem on representing bounded mean zero functions on $[0,1]$, http://dx.doi.org/10.48550/arxiv.1911.13006
,2019, Rosenthal's inequalities: $\Delta-$norms and quasi-Banach symmetric sequence spaces, http://dx.doi.org/10.48550/arxiv.1910.12482
,2019, A Dixmier trace formula for the density of states, http://dx.doi.org/10.48550/arxiv.1910.12380
,2019, Dilation invariant Banach limits, http://dx.doi.org/10.48550/arxiv.1910.10899
,2019, Logarithmic submajorization, uniform majorization and Hölder type inequalities for $\tau$-measurable operators, http://dx.doi.org/10.48550/arxiv.1910.10874
,2019, The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications, http://dx.doi.org/10.48550/arxiv.1909.10897
,2019, The optimal range of the Calder\`{o}n operator and its applications, http://dx.doi.org/10.48550/arxiv.1908.09548
,2019, Notes on derivations of Murray--von Neumann algebras, http://dx.doi.org/10.48550/arxiv.1906.00243
,2019, 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
,2019, BMO-estimates for non-commutative vector valued Lipschitz functions, http://dx.doi.org/10.48550/arxiv.1903.10912
,2018, Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators, http://dx.doi.org/10.48550/arxiv.1808.01772
,2018, The Connes character formula for locally compact spectral triples, http://dx.doi.org/10.48550/arxiv.1803.01551
,2017, Higher order $\Sc^2$-differentiability and application to Koplienko trace formula, http://dx.doi.org/10.48550/arxiv.1712.10289
,2017, On the Global Limiting Absorption Principle for Massless Dirac Operators, http://dx.doi.org/10.48550/arxiv.1711.01029
,2017, When do triple operator integrals take value in the trace class?, http://dx.doi.org/10.48550/arxiv.1706.01662
,2017, Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra, http://dx.doi.org/10.48550/arxiv.1703.05695
,2017, Trace theorem for quasi-Fuchsian groups, http://dx.doi.org/10.48550/arxiv.1703.05447
,2017, Connes integration formula for the noncommutative plane, http://dx.doi.org/10.48550/arxiv.1703.04256
,2017, Cwikel estimates revisited, http://dx.doi.org/10.48550/arxiv.1703.04254
,2017, Weak type operator Lipschitz and commutator estimates for commuting tuples, http://dx.doi.org/10.48550/arxiv.1703.03089
,2016, Banach limits and traces on $\mathcal L_{1,\infty}$, http://dx.doi.org/10.48550/arxiv.1612.04509
,2016, Krein's trace theorem revisited, http://dx.doi.org/10.48550/arxiv.1701.00697
,2016, Singular traces and perturbation formulae of higher order, http://dx.doi.org/10.48550/arxiv.1612.04511
,2016, Johnson-Schechtman inequalities for noncommutative martingales, http://dx.doi.org/10.48550/arxiv.1612.04452
,2016, Fubini theorem in noncommutative geometry, http://dx.doi.org/10.48550/arxiv.1612.04012
,2016, Trace Formulas for a Class of non-Fredholm Operators: A Review, http://dx.doi.org/10.48550/arxiv.1610.04954
,2016, $\Phi$-moment inequalities for independent and freely independent random variables, http://dx.doi.org/10.48550/arxiv.1608.07368
,2016, Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory, http://dx.doi.org/10.48550/arxiv.1608.07367
,2015, Double operator integral methods applied to continuity of spectral shift functions, http://dx.doi.org/10.48550/arxiv.1511.07998
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