A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces

Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1,δ2<1. This paper mainly establish the boundedness of the class of all bi-parameter pseudo-differential operators associated with the symbol σx,ξ on the multi-parameter non-homogeneous Besov-Lipschitz and Triebel-Lizork...

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Bibliographic Details
Main Author: Chengdan Xu
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/7953457
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Summary:Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1,δ2<1. This paper mainly establish the boundedness of the class of all bi-parameter pseudo-differential operators associated with the symbol σx,ξ on the multi-parameter non-homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces.
ISSN:2314-8888