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Journal of Functional Analysis, 2009 The main result is that the commutators on ℓ1 are the operators not of the form λI+K with λ≠0 and K compact. We generalize Apostol's technique [C. Apostol, Rev. Roumaine Math. Appl.
Dosev, Detelin T.
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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group
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.
Amjad Hussain
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Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups
Mathematics, 2021 In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous ...
Yanping Chen, Teng Wang
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Proceedings of the American Mathematical Society, 1987 Let R R be a principal ideal ring and M k , n {M_{k,n}} the set of k × n k \times n matrices over
Morris Newman
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Coprime commutators in finite groups
Communications in Algebra, 2019 Let G be a finite group and let k≥2 We prove that the coprime subgroup γ*k(G) is nilpotent if and only if |xy|=|x||y| for any γ*k -commutators x,yεG of coprime orders (Theorem A).
Raimundo Bastos, Carmine Monetta
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Commutative–non-commutative dualities [PDF]
Canadian Journal of Physics, 2020 We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical ...
Scholtz, F.G. +2 more
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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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Semi-commutations and Partial commutations [PDF]
RAIRO - Theoretical Informatics and Applications, 2000 Summary: The aim of this paper is to show that a semi-commutation function can be expressed as the compound of a sequential transformation, a partial commutation function, and the reverse transformation. Moreover, we give a necessary and sufficient condition for the image of a regular language to be computed by the compound of two sequential functions ...
Mireille Clerbout +2 more
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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces
Open Mathematics, 2021 Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
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