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Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces
Journal of Pseudo-Differential Operators and Applications ( IF 1.1 ) Pub Date : 2020-08-09 , DOI: 10.1007/s11868-020-00362-y
Shaoyong He , Jiecheng Chen

The main purpose of this paper is to introduce the multi-parameter Lipschitz spaces and characterize it via the Littlewood–Paley theory. As an application to the multi-parameter Lipschitz spaces, we derive the boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces.



中文翻译:

多参数Lipschitz空间上的多参数伪微分算子的有界性

本文的主要目的是介绍多参数Lipschitz空间,并通过Littlewood-Paley理论对其进行表征。作为对多参数Lipschitz空间的一种应用,我们推导了多参数Lipschitz空间上的多参数伪微分算子的有界性。

更新日期:2020-08-10
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