Results 1 to 10 of about 81,230 (240)
On Bilinear Narrow Operators [PDF]
Mathematics, 2021 In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev +2 more
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Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
Open Communications in Nonlinear Mathematical Physics, 2017 In this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present unified bilinear forms for both the AKNS hierarchy and the KdV hierarchy ...
Xingbiao Hu, Guofu Yu, Yingnan Zhang
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Weighted Estimates for Bilinear Operators [PDF]
Journal of Function Spaces, 2014 We study the boundedness of weighted multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We also investigate weighted estimates for bilinear operators related to Schrödinger operator.
Hua Zhu, Heping Liu
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Bilinear Localization Operators on Modulation Spaces [PDF]
Journal of Function Spaces, 2018 We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far.
Nenad Teofanov
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Interpolation of compact bilinear operators [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces.
Mieczysław Mastyło, Eduardo B. Silva
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Invariant bilinear differential operators
Communications in Mathematics, 2005 I classified bilinear differential operators acting in the spaces of tensor fields on any real or complex manifold and invariant with respect to the diffeomorphisms in 1980.
Grozman, Pavel
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On a Class of Bilinear Pseudodifferential Operators [PDF]
Journal of Function Spaces and Applications, 2013 We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS1,δ0, 0 ...
Árpád Bényi, Tadahiro Oh
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Constructing Dynamical Symmetries for Quantum Computing: Applications to Coherent Dynamics in Coupled Quantum Dots [PDF]
NanomaterialsDynamical symmetries, time-dependent operators that almost commute with the Hamiltonian, extend the role of ordinary symmetries. Motivated by progress in quantum technologies, we illustrate a practical algebraic approach to computing such time-dependent ...
James R. Hamilton +2 more
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Discrete Bilinear Operators and Commutators [PDF]
The Journal of Geometric Analysis, 2023 14 pages. Minor revision. To appear in J.
Árpád Bényi, Tadahiro Oh
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Integral restriction for bilinear operators [PDF]
Publicacions Matemàtiques, 2016 We consider the integral domain restriction operator TΩ for certain bilinear operator T. We obtain that if (s, p1, p2) satisfies 1 p1+ 1 p2 ≥ 2 min{1,s} and kTkLp1 ×Lp2→Ls < ∞, then kTΩkLp1 ×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s}.
Zhao, Weiren, Wang, Meng, Zhao, Guoping
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