Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces (Q2836144)
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scientific article; zbMATH DE number 6662093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces |
scientific article; zbMATH DE number 6662093 |
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Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces (English)
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7 December 2016
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Fourier multiplier
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pseudodifferential operator
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Triebel-Lizorkian space
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The article is concerned with an analysis of pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkian spaces. A brief introduction to pseudodifferential operators, anisotropic distance, anisotropic mixed-norm Besov and Triebel-Lizorkian spaces, maximal operators, Fourier multipliers, etc., are given. The authors prove boundedness of pseudodifferential operators on anisotropic mixed-norm Besov and Triebel-Lizorkian spaces. Applications are also given which elaborates the efficiency of study of Besov and Triebel-Lizorkian spaces. The proof of the boundedness result obtained for pseudodifferential operators on anisotropic mixed-norm Besov and Triebel-Lizorkian spaces is very interesting.
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