A note on fractional integration (Q909198)
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scientific article; zbMATH DE number 4136767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on fractional integration |
scientific article; zbMATH DE number 4136767 |
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A note on fractional integration (English)
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1989
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The author proves the Hardy-Littlewood-Sobolev fractional integration theorem [see \textit{E. M. Stein}, Singular integrals and differentiability properties of functions, Princeton (1970; Zbl 0281.44003), Chapter V, theorem 1] and related results for functions in \(L^ p\) when \(p>1\) by direct calculations with a sort of their rearrangements. (The proof in the cited book uses Marcinkiewicz interpolation theorem).
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Hardy-Littlewood-Sobolev fractional integration theorem
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rearrangements
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Marcinkiewicz interpolation theorem
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0.9076073
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