Results 81 to 90 of about 70,449 (343)
Commentarii Mathematici Helvetici, 2004 Consider an associative algebra of differential operators in \(n\) indeterminates (with smooth or polynomial coefficients) with respect to composition. Its subspace \(W(n)\) of vector fields (i.e. first-order differential operators) constitutes a famous Lie algebra of general Cartan type with respect to commutator.
openaire +2 more sources
An Alternative Approach to Spontaneous Photon Triplets Generation
Advanced Physics Research, EarlyView.Day by day, communication and computing technologies are progressing at a lightning speed, which is particularly true of the quantum version of these technologies (QIST). Increasingly, these technologies are emerging from unusual and sometimes bewildering quantum optical effects, which are based on exotic quantum physical theories.
Serge Gauvin
wiley +1 more source
Journal of Inequalities and Applications, 2017 In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Hua Wang
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The $g$-areas and the commutator length
, 2013 The commutator length of a Hamiltonian diffeomorphism $f\in \mathrm{Ham}(M, \omega)$ of a closed symplectic manifold $(M,\omega)$ is by definition the minimal $k$ such that $f$ can be written as a product of $k$ commutators in $\mathrm{Ham}(M, \omega ...
Lalonde, François, Teleman, Andrei
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Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces [PDF]
, 2017 In this article we extend recent results by the first author on the necessity of $BMO$ for the boundedness of commutators on the classical Lebesgue spaces. We generalize these results to a large class of Banach function spaces.
Lucas Chaffee, D. Cruz-Uribe
semanticscholar +1 more source
On Bloom type estimates for iterated commutators of fractional integrals [PDF]
Indiana University Mathematics Journal, 2017 In this paper we provide quantitative Bloom type estimates for iterated commutators of fractional integrals improving and extending results from a work of Holmes, Rahm and Spencer.
Natalia Accomazzo +2 more
semanticscholar +1 more source
Journal of Algebra, 2003 The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP.
ELASHVILI, Alexander, OOMS, Alfons
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Generalized Local Morrey Spaces Associated with Ball Banach Function Spaces and Their Application
AxiomsThis paper is devoted to the analysis of boundedness for fractional integral operators, Calderón–Zygmund singular integral operators, and their corresponding commutators on generalized local Morrey spaces associated with ball Banach function spaces ...
Feiyang Zhang, Jiang Zhou
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Journal of Inequalities and Applications, 2016 Let T b → $T_{\vec{b}}$ and T Π b $T_{\Pi b}$ be the commutators in the jth entry and iterated commutators of the multilinear Calderón-Zygmund operators, respectively.
Zhengyang Li, Qingying Xue
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