Weighted boundedness of multilinear operators associated to singular integral operators with non-smooth kernels

Daqing Lu

Type: Article

Publication Date: 2014-07-23

Citations: 0

DOI: https://doi.org/10.1186/1029-242x-2014-276

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for a multilinear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces. MSC:42B20, 42B25.

Locations

Journal of Inequalities and Applications - View - PDF

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Works Cited by This (26)

Action	Title	Year	Authors
+ PDF Chat	On multilinear singular integrals on $R^{n}$	1982	Jonathan Cohen John Gosselin
+ PDF Chat	A BMO estimate for multilinear singular integrals	1986	Jonathan Cohen John Gosselin
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia
+ PDF Chat	Weighted boundedness for multilinear singular integral operators with non-smooth kernels on Morrey spaces	2010	Xiaosha Zhou Lanzhe Liu
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	On the theory of Lp,λ spaces	1969	Jaak Peetre
+ PDF Chat	Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss	1995	Maciej Paluszyński
+ PDF Chat	A commutator theorem and weighted BMO	1985	Steven Bloom
+	Sharp function boundedness for vector-valued multilinear singular integral operators with non-smooth kernels	2010	Lanzhe Liu
+ PDF Chat	Singular integral operators with non-smooth kernels on irregular domains	1999	Xuan Thinh Duong Alan McIntosh