Endpoint Schatten class properties of commutators

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Operator ideals (47L20)

Cites Work

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Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces
Operator-Lipschitz functions in Schatten-von Neumann classes
The best constants for operator Lipschitz functions on Schatten classes
The Dixmier trace of Hankel operators on the Bergman space
Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
On an inequality of Lieb and Thirring
L'intégrale de Cauchy définit un opératuer borne sur $L^ 2 $pour les courbes lipschitziennes
Factorization theorems for Hardy spaces in several variables
Weak type estimates for singular values and the number of bound states of Schrödinger operators
On the compactness of operators of Hankel type
Mean oscillation and commutators of singular integral operators
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes
Schatten classes and commutators of singular integral operators
Regularity properties of commutators and $BMO$-Triebel-Lizorkin spaces
Quantum differentiability on noncommutative Euclidean spaces
Singular traces. Volume 1. Theory
Quantum differentiability of essentially bounded functions on Euclidean space
A $C^*$-algebraic approach to the principal symbol. II
Cwikel's theorem and the CLR inequality
Unbounded Fredholm modules and double operator integrals
Paracommutators-Boundedness and Schatten-Von Neumann Properties
Hankel Operators on Weighted Bergman Spaces
Membership of Hankel Operators on the Ball in Unitary Ideals
On Commutators of Singular Integrals and Bilinear Singular Integrals
A First Course in Sobolev Spaces
Trace theorem for quasi-Fuchsian groups
Weak type operator Lipschitz and commutator estimates for commuting tuples
Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
Optimal constants in non-commutative Hölder inequality for quasi-norms
Cwikel estimates revisited
COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS
Asymptotics of singular values for quantum derivatives
Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0< p\leqslant \infty$
The Connes character formula for locally compact spectral triples
$C^{\ast}$-algebraic approach to the principal symbol. III