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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group [PDF]
Open Mathematics, 2020 In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
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Some weighted inequalities for Hausdorff operators and commutators
Journal of Inequalities and Applications, 2018 In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of
Amjad Hussain, Amna Ajaib
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Compactness Characterizations of Commutators on Ball Banach Function Spaces [PDF]
Potential Analysis, 2021 Let X be a ball Banach function space on ℝ n ${\mathbb R}^{n}$ . Let Ω be a Lipschitz function on the unit sphere of ℝ n ${\mathbb R}^{n}$ , which is homogeneous of degree zero and has mean value zero, and let T _Ω be the convolutional singular integral ...
Jin Tao +3 more
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Modular Commutators in Conformal Field Theory. [PDF]
Physical Review Letters, 2022 The modular commutator is a recently discovered entanglement quantity that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive a universal expression for the modular commutator in conformal field theories in 1+1 ...
Yijian Zou +4 more
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On decompositions of matrices into products of commutators of involutions
The Electronic Journal of Linear Algebra, 2022 Let $F$ be a field and let $n$ be a natural number greater than $1$. The aim of this paper is to prove that if $F$ contains at least three elements, then every matrix in the special linear group $\mathrm{SL}_n(F)$ is a product of at most two commutators ...
Tran Nam Son +3 more
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On local and integrated stress-tensor commutators [PDF]
Journal of High Energy Physics, 2020 We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE).
Mert Besken +2 more
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Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces
Journal of Function Spaces, 2021 In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents M
Amjad Hussain +3 more
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Commutators in the two scalar and matrix weighted setting [PDF]
Journal of the London Mathematical Society, 2020 In this paper, we approach the two weighted boundedness of commutators via matrix weights. This approach provides both a sufficient and a necessary condition for the two weighted boundedness of commutators with an arbitrary linear operator in terms of ...
J. Isralowitz, S. Pott, S. Treil
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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Some remarks on the sparse dominations for commutators of multi(sub)linear operator
Journal of Inequalities and Applications, 2021 We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators.
Zhidan Wang
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