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STRONG COMMUTATIVITY PRESERVING GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS
2019Let R be a non-commutative prime ring of characteristic different from 2, with right Utumi quotient ring U and extended centroid C and let F and G be generalized derivations of R such that F(x)G(y) - F(y)G(x) = [x, y], for all x, y is an element of S, where S is a subset of R. Here we will discuss the following cases: (a) S = [R, R]; (b) S = L, where L
Argaç N., Scudo G.
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Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels
Applied Mathematics-A Journal of Chinese Universities, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lian Jia-li, Li Ji, Wu Huo-xiong
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Forum Mathematicum, 2018
Abstract In this paper, we aim to establish the sharp maximal pointwise estimates for the multilinear commutators generated by multilinear strongly singular Calderón–Zygmund operators and BMO functions or Lipschitz functions, respectively.
Lin, Yan, Lu, Guozhen, Lu, Shanzhen
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Abstract In this paper, we aim to establish the sharp maximal pointwise estimates for the multilinear commutators generated by multilinear strongly singular Calderón–Zygmund operators and BMO functions or Lipschitz functions, respectively.
Lin, Yan, Lu, Guozhen, Lu, Shanzhen
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CBMO estimates for commutators and multilinear singular integrals
Mathematische Nachrichten, 2004AbstractIn this paper, the authors establish the CBMO estimates for the commutators and multilinear singular integrals with rough kernels. Their endpoint estimates are also disposed. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Lu, Shanzhen, Wu, Qiang
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Boundedness of multilinear commutators of generalized fractional integrals
Mathematische Nachrichten, 2008AbstractLet L be the infinitesimal generator of an analytic semigroup on L2(ℝn ) with Gaussian kernel bound, and let L–α /2 be the fractional integral of L for 0 < α < n. Suppose that b = (b1, b2, …, bm ) is a finite family of locally integral functions, then the multilinear commutator generated by b and L–α /2 is defined byL–α /2bf = [bm ...
Mo, Huixia, Lu, Shanzhen
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New endpoint estimates for commutators of multilinear operators
Bulletin des Sciences MathématiqueszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yichun Zhao, Songbai Wang, Jiang Zhou
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Weighted estimates for multilinear commutators of Marcinkiewicz integral
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundedness for Multilinear Commutators of Littlewood-Paley Operator
2012 Fourth International Conference on Computational and Information Sciences, 2012In this paper, boundedness for the multilinear commutators of Littlewood-Paley operator is considered. We prove that the multilinear commutators $g_{\psi,\vec{b}}$ generated by Littlewood-Paley operator and Lipschitz function is bounded from $L^{p}({ R}^{n})$ into $\dot{\wedge}_{(\beta-\frac{n}{p})}({ R}^{n})$ and from $L^{\frac{n}{\beta}}({ R}^{n ...
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Commuting traces of multilinear maps on invertible elements
Communications in Algebra, 2018Let R be a unital simple ring. Under some technical restrictions, we characterize m-linear mappings G:Rm→R satisfying [G(u,…,u),u] = 0 for all unit u∈R.
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Lipschitz estimates for multilinear commutator of Littlewood-Paley operator
2009Summary: We study the continuity of multilinear commutators generated by the Littlewood-Paley operator and Lipschitz functions on Triebel-Lizorkin spaces, Hardy spaces and Herz-Hardy spaces.
Meiling, Wang, Lanzhe, Liu
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