Characterizations of slice Besov-type and slice Triebel-Lizorkin-type spaces and applications (Q6570480)
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scientific article; zbMATH DE number 7879380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of slice Besov-type and slice Triebel-Lizorkin-type spaces and applications |
scientific article; zbMATH DE number 7879380 |
Statements
Characterizations of slice Besov-type and slice Triebel-Lizorkin-type spaces and applications (English)
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10 July 2024
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This paper studies the slice Besov-type spaces and the slice Triebel-Lizorkin-type spaces. It gives the \(\phi\)-\(\psi\) transform characterizations, the embedding properties, the Peetre maximal function characterizations, the Lusin area function characterization, the smooth atomic and the molecular decompositions and the mapping properties of the Fourier multipliers.
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slice space
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Besov spaces
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Triebel-Lizorkin spaces
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atomic
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molecular
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Peetre maximal function
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Lusin area function
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Fourier multiplier
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