Weighted Lipschitz estimates for commutators of fractional integrals with homogeneous kernels (Q449591)
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scientific article; zbMATH DE number 6074781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted Lipschitz estimates for commutators of fractional integrals with homogeneous kernels |
scientific article; zbMATH DE number 6074781 |
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Weighted Lipschitz estimates for commutators of fractional integrals with homogeneous kernels (English)
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31 August 2012
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commutator
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fractional integral operator
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weighted Lebesgue space
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weighted Lipschitz function
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Conditions are found that imply the boundedness on weighted Lebesgue spaces of the commutator \([b,T_{\Omega,\alpha}]\) generated by a weighted Lipschitz function \(b\) and the fractional integral operator NEWLINE\[NEWLINE T_{\Omega,\alpha}f(x):= \int_{\mathbb{R}^n}\frac{\Omega(x-y)}{|x-y|^{n-\alpha}}f(y)dy, NEWLINE\]NEWLINE with homogeneous kernel \(\Omega\) satisfying certain Dini type conditions.
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