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The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces
Indian Journal of Pure and Applied Mathematics ( IF 0.7 ) Pub Date : 2021-07-05 , DOI: 10.1007/s13226-021-00127-3
Chenglong Fang 1 , Jiang Zhou 2
Affiliation  

In this paper, the authors first prove the characterizations of Herz Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Herz Triebel-Lizorkin spaces, the author show that the commutators of sublinear operators with Lipschitz functions are also bounded from Herz spaces to Herz Triebel-Lizorkin spaces.



中文翻译:

Herz Triebel-Lizorkin 空间上次线性算子的交换子的有界性

在本文中,作者首先证明了两个算子族对 Herz Triebel-Lizorkin 空间的刻画。应用Herz Triebel-Lizorkin 空间的刻画,作者证明了具有Lipschitz 函数的次线性算子的交换子也从Herz 空间到Herz Triebel-Lizorkin 空间有界。

更新日期:2021-07-05
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