Regularity of Morrey commutators (Q2841371)
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scientific article; zbMATH DE number 6191430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of Morrey commutators |
scientific article; zbMATH DE number 6191430 |
Statements
Regularity of Morrey commutators (English)
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25 July 2013
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fractional integral operators
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commutators
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Morrey-Sobolev spaces
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maximal operators
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The aim of the authors is to obtain regularity properties of commutators between \(I_\alpha, \) that is the fractional integral operator of order \(\alpha, \) and a bounded mean oscillation function \(b\).NEWLINENEWLINEBasic tool is to iterate \(I_\theta \) as NEWLINE\[NEWLINE [b, I_{\theta +1}]f\,=\,[b, I_{\theta}](I_1 f) \,+I_\theta([b,I_{1}] f).NEWLINE\]
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