Results 31 to 40 of about 2,364 (134)
Triebel--Lizorkin space estimates for multilinear operators of sublinear operators [PDF]
, 2003 In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures,
Lanzhe, Liu
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On multilinear operators commuting with Lie derivatives [PDF]
Annals of Global Analysis and Geometry, 1995 Let $E_1,\dots ,E_k$ and $E$ be natural vector bundles defined over the category $\Cal Mf_m^+$ of smooth oriented $m$--dimensional manifolds and orientation preserving local diffeomorphisms, with $m\geq 2$. Let $M$ be an object of $\Cal Mf_m^+$ which is connected. We give a complete classification of all separately continuous $k$--linear operators $D\:\
Čap, Andreas, Slovák, Jan
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Analysis and Geometry in Metric Spaces, 2023 The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
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Two-Weight Inequalities for Multilinear Commutators in Product Spaces
Potential Analysis, 2022 AbstractThis article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolation result is used to yield the quasi-Banach range of estimates.
Emil Airta +2 more
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Some estimates for the commutators of multilinear maximal function on Morrey-type space
Open Mathematics, 2021 In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
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AIMS Mathematics, 2022 Let $ {\mathcal{I}_{\alpha, m}} $ be the multilinear $ \theta $-type generalized fractional integrals and $ \vec{b}_{\sigma} $ be the vector with each $ b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right) $.
Xiangxing Tao, Jiahui Wang
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New bounds for bilinear Calder\'on-Zygmund operators and applications [PDF]
, 2015 In this work we extend Lacey's domination theorem to prove the pointwise control of bilinear Calder\'on--Zygmund operators with Dini--continuous kernel by sparse operators. The precise bounds are carefully tracked following the spirit in a recent work of
Damián, Wendolín +2 more
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, 2023 In this paper, the weighted Lp boundedness of multilinear commutators and iterated commutators of multilinear singular integral operators with generalized kernels is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini ...
Gao, Liwen, Lin, Yan, Yang, Shuhui
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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Journal of Function Spaces, 2014 (Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out.
Jiang Zhou, Dinghuai Wang
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Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces
Journal of Inequalities and Applications, 2019 Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces.
Zengyan Si, Pu Zhang
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