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Hardy-Littlewood-Sobolev inequalities via fast diffusion flows
We give a simple proof of the λ = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d≥3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow governed by the fast diffusion equation.
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| Main Authors: | , , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
National Academy of Sciences
2010
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| Assuntos: | |
| Acesso em linha: | https://ncbi.nlm.nih.gov/pmc/articles/PMC2993356/ https://ncbi.nlm.nih.gov/pubmed/21041663 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1008323107 |
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