摘要
建立了与Calderón-Zygmund核函数的奇异积分算子相关的Toeplitz型算子的极大函数不等式,利用不等式、原子分解的性质等工具,得到了该算子在Lebesgue空间上的有界性.
In this paper,established were the sharp maximal function inequalities for the Toeplitz type operator which is associated with the singular integral operator with variable Calderón-Zygmund kernel.By applying tools such as inequality and properties of atomic decomposition,we obtained the boundedness of the operator on Lebesgue,Morrey and Triebel-Lizorkin spaces.
作者
赵巧珍
黄得建
ZHAO Qiaozhen;HUANG Dejian(Department of Mathematics,Jiaxing Nanyang Polytechnic Institute,Jiaxing Zhejiang 314003,China;School of Science,Hainan Tropical Ocean University,Sanya Hainan 572022,China)
出处
《海南热带海洋学院学报》
2020年第5期62-68,共7页
Journal of Hainan Tropical Ocean University
基金
嘉兴南洋职业技术学院科研课题(p30018ky013)。