Results 51 to 60 of about 24,858 (293)
Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq δ$). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq ε$? A theorem of H. Lin shows that this is uniformly true, in that for every $ε>0$ there exists a $δ>0$, independent of the size $N$ of the matrices, for ...
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Journal of Function Spaces, 2018 In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-type inequalities for the commutators acting on the solutions of Dirac-harmonic ...
Jinling Niu, Yuming Xing
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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis and Geometry in Metric Spaces, 2020 In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Ru-Ming Gong +3 more
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Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach [PDF]
Mathematische Annalen, 2017 We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi +4 more
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On the compactness of oscillation and variation of commutators [PDF]
Banach Journal of Mathematical Analysis, 2019 In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new CMO(Rn)\documentclass[12pt]{minimal} \usepackage{amsmath}
Weichao Guo +3 more
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COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS
Tamkang Journal of Mathematics, 1995 Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
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Journal of Inequalities and Applications, 2016 By decomposing functions, we establish some boundedness results for some rough singular integrals on the homogeneous Morrey-Herz spaces M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( R n ) $M\dot{K}_{q, p(\cdot)}^{\alpha(\cdot),\lambda}({\Bbb{ R}}^{n})$ , where the two
Liwei Wang, Meng Qu, Lisheng Shu
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Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces [PDF]
Mathematical methods in the applied sciences, 2018 Let CΓ be the Cauchy integral operator on a Lipschitz curve Γ. In this article, the authors show that the commutator [b,CΓ] is bounded (resp, compact) on the Morrey space Lp,λ(R) for any (or some) p ∈ (1,∞) and λ ∈ (0,1) if and only if b∈BMO(R) (resp,
Jin Tao, Da-Chun Yang, Dong-Yong Yang
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Advanced Science, EarlyView.This work reports on epitaxially grown Hf0.52Zr0.48O2 ferroelectric memristors with high stability (high durability exceeding 108 cycles and a retention time exceeding 104 s for 16 states) and ultra‐low operating energy consumption (∼121 fJ). A memristor array‐based reservoir computing system is constructed and applied for the first time in the field ...
Ying Liu +6 more
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Multilinear fractional integral operators on non-homogeneous metric measure spaces
Journal of Inequalities and Applications, 2016 In this paper, the boundedness in Lebesgue spaces for multilinear fractional integral operators and commutators generated by multilinear fractional integrals with an RBMO ( μ ) $\operatorname{RBMO}(\mu)$ function on non-homogeneous metric measure spaces ...
Huajun Gong, Rulong Xie, Chen Xu
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