Weighted boundedness for toeplitz type operators associated to singular integral operator with non-smooth kernel

Lanzhe Liu

Type: Article

Publication Date: 2016-01-01

Citations: 1

DOI: https://doi.org/10.2298/fil1609489l

Abstract

In this paper, the weighted boundedness of the Toeplitz type operator associated to some singular integral operator with non-smooth kernel on Lebesgue spaces are obtained. To do this, some weighted sharp maximal function inequalities for the operator are proved.

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Works Cited by This (16)

Action	Title	Year	Authors
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ 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
+	Toeplitz-type operators on lebesgue spaces	2009	Shanzhen Lu Huixia Mo
+	Boundedness and Compactness of Integral Operators on Spaces of Homogeneous Type and Applications, II	2001	Steven G. Krantz Song-Ying Li
+ PDF Chat	Mean oscillation and commutators of singular integral operators	1978	Svante Janson
+ PDF Chat	Commutators of BMO functions and singular integral operators with non-smooth kernels	2003	Xuan Thinh Duong Lixin Yan