Results 41 to 50 of about 69,983 (325)
Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq $). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq $? A theorem of H. Lin shows that this is uniformly true, in that for every $ >0$ there exists a $ >0$, independent of the size $N$ of the matrices ...
openaire +3 more sources
Upper Bound for Multi-parameter Iterated Commutators [PDF]
, 2015 We show that the product BMO space can be characterized by iterated commutators of a large class of Calder\'on-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol ...
Dalenc, Laurent, Ou, Yumeng
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A Method for Choosing an Initial Time Eigenstate in Classical and Quantum Systems
Entropy, 2013 A subject of interest in classical and quantum mechanics is the development of the appropriate treatment of the time variable. In this paper we introduce a method of choosing the initial time eigensurface and how this method can be used to generate time ...
Mónica Noemí Jiménez-García +1 more
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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, Dachun Yang, D. Yang
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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.
Ruming Gong +3 more
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Journal of Inequalities and Applications, 2020 In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces.
Jinyun Qi, Xuefang Yan, Wenming Li
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Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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Toeplitz operators on Bergman spaces of polyanalytic functions
, 2010 We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
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Noncompact commutators in the commutant of a cyclic operator [PDF]
Proceedings of the American Mathematical Society, 1989 We show that the commutant of the operator S ⊗ ( I + S ∗ ) S \otimes \left ( {I + {S^*}} \right ) , where S S is the shift operator, contains two operators
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Open Mathematics, 2017 The main purpose of this paper is to prove that the boundedness of the commutator Mκ,b∗$\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator Mκ∗$\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure ...
Lu Guanghui, Tao Shuangping
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