Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces (Q1749086)
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scientific article; zbMATH DE number 6868712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces |
scientific article; zbMATH DE number 6868712 |
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Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces (English)
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15 May 2018
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Summary: A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in \(W\mathcal F_\beta(S^{n-1})\), which relates to the Grafakos-Stefanov function class. Certain boundedness and continuity for these operators on Triebel-Lizorkin spaces and Besov spaces are proved by applying some criterions of bounds and continuity for several operators on the above function spaces.
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Marcinkiewicz integrals
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Grafakos-Stefanov function class
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