Boundedness of the Riesz potential in local Morrey-type spaces (Q634197)
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scientific article; zbMATH DE number 5935053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of the Riesz potential in local Morrey-type spaces |
scientific article; zbMATH DE number 5935053 |
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Boundedness of the Riesz potential in local Morrey-type spaces (English)
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2 August 2011
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The authors study the boundedness of the Riesz potential in local Morrey-type spaces and the boundedness of the Hardy operator in weighted \(L_p\)-spaces on the cone of the non-negative non-increasing functions. This allows them to obtain sharp sufficient conditions for the boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
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Riesz potential
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local and global Morrey-type spaces
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Hardy operator on the cone of monotonic functions
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