Triebel-Lizorkin spaces with general weights (Q2106152)
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scientific article; zbMATH DE number 7630099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triebel-Lizorkin spaces with general weights |
scientific article; zbMATH DE number 7630099 |
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Triebel-Lizorkin spaces with general weights (English)
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8 December 2022
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This paper introduces a family of weighted Triebel-Lizorkin spaces which extends some existing weighted Triebel-Lizorkin spaces. The main result is an extension of the Frazier-Jawerth theory of the \(\phi\)-\(\psi\) to this family of weighted Triebel-Lizorkin spaces. The atomic decomposition and the molecular characterizations of this family of weighted Triebel-Lizorkin are also obtained.
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atom
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molecule
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Triebel-Lizorkin space
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embedding
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Muckenhoupt class
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