Results 41 to 50 of about 70,693 (320)

Fractional operators and their commutators on generalized Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2022
In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
doaj   +1 more source

Normalities and commutators

open access: yesJournal of Algebra, 2010
We first compare several algebraic notions of normality, from a categorical viewpoint. Then we introduce an intrinsic description of Higgins' commutator for ideal-determined categories, and we define a new notion of normality in terms of this commutator. Our main result is to extend to any semi-abelian category the following well-known characterization
S. Mantovani, G. Metere
openaire   +5 more sources

Benefits of Open Quantum Systems for Quantum Machine Learning

open access: yesAdvanced Quantum Technologies, EarlyView., 2023
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio   +2 more
wiley   +1 more source

Non-Hamiltonian Commutators in Quantum Mechanics [PDF]

open access: yes, 2005
The symplectic structure of quantum commutators is first unveiled and then exploited to introduce generalized non-Hamiltonian brackets in quantum mechanics.
Sergi, Alessandro
core   +2 more sources

Commutation matrices and Commutation tensors [PDF]

open access: yesLinear and Multilinear Algebra, 2018
The commutation matrix was first introduced in statistics as a transposition matrix by Murnaghan in 1938. In this paper, we first investigate the commutation matrix which is employed to transform a matrix into its transpose. We then extend the concept of the commutation matrix to commutation tensor and use the commutation tensor to achieve the ...
Lingling He, Zerong Lin, Changqing Xu
openaire   +4 more sources

Weighted and endpoint estimates for commutators of bilinear pseudo-differential operators

open access: yesAIMS Mathematics, 2022
In this paper, by applying the accurate estimates of the Hörmander class, the authors consider the commutators of bilinear pseudo-differential operators and the operation of multiplication by a Lipschitz function.
Yanqi Yang, Shuangping Tao, Guanghui Lu
doaj   +1 more source

Commutant lifting for commuting row contractions [PDF]

open access: yesBulletin of the London Mathematical Society, 2010
one section and references were ...
Kenneth R. Davidson, Trieu Le
openaire   +3 more sources

Commutators of Littlewood-Paley gκ∗$g_{\kappa}^{*} $-functions on non-homogeneous metric measure spaces

open access: yesOpen 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
doaj   +1 more source

Notes on pseudodifferential operators commutators and Lipschitz functions

open access: yesOpen 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
doaj   +1 more source

Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces [PDF]

open access: yesMathematical 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
semanticscholar   +1 more source

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