Toeplitz-type operators in weighted Morrey spaces

被引:0
|
作者
Peizhu Xie
Guangfu Cao
机构
[1] Guangzhou University,School of Mathematics and Information Science
[2] Guangzhou University,Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes
来源
Journal of Inequalities and Applications | / 2013卷
关键词
Toeplitz operator; Morrey space; weights;
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摘要
Let Tj,1 and Tj,2 be singular integrals with non-smooth kernels, which are associated with an approximation of identity or ±I (I is the identity operator). Denote the Toeplitz-type operator by Tb=∑j=1NTj,1MbTj,2, where Mbf(x)=b(x)f(x). In this paper, the estimates of the Toeplitz operator Tb(f) related to singular integral operators with non-smooth kernels and b∈BMO(Rn) in weighted Morrey spaces is established.
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