Results 1 to 10 of about 24,858 (293)
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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Bloom weighted bounds for sparse forms associated to commutators [PDF]
Mathematische Zeitschrift, 2023 In this paper we consider bilinear sparse forms intimately related to iterated commutators of a rather general class of operators. We establish Bloom weighted estimates for these forms in the full range of exponents, both in the diagonal and off-diagonal
A. Lerner, Emiel Lorist, S. Ombrosi
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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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Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups [PDF]
Journal of Functional Analysis, 2022 Along the line of singular value estimates for commutators by Rochberg-Semmes, Lord-McDonald-Sukochev-Zanin and Fan-Lacey-Li, we establish the endpoint weak Schatten class estimate for commutators of Riesz transforms with multiplication operator $M_f$ on
Zhi-Jie Fan +4 more
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Efficient product formulas for commutators and applications to quantum simulation [PDF]
Physical Review Research, 2021 We construct product formulas for exponentials of commutators and explore their applications. First, we directly construct a third-order product formula with six exponentials by solving polynomial equations obtained using the operator differential method.
Yu-An Chen +5 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 ...
Son Nam Tran +3 more
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Commutators and images of noncommutative polynomials [PDF]
Advances in Mathematics, 2020 Let A be an algebra and let f be a noncommutative polynomial. In the first part of the paper, we consider the relationship between [A,A], the linear span of commutators in A, and span f(A), the linear span of the image of f in A.
M. Brešar
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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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