Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\) (Q1190127)
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scientific article; zbMATH DE number 56873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\) |
scientific article; zbMATH DE number 56873 |
Statements
Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\) (English)
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27 September 1992
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The main result is a sharp version of the logarithmic Hardy-Littlewood- Sobolev inequality including all cases of equality. The use of transparent duality methods yields an elegant proof. The main result is used to proof Beckner's \(n\)-dimensional generalization of Onofri's inequality including all cases of equality.
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Sobolev inequality
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logarithmic Hardy-Littlewood-Sobolev inequality
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transparent duality methods
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Beckner's \(n\)-dimensional generalization of Onofri's inequality
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