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Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
Hypercontractive estimates are obtained for the Poisson semigroup on Lp(Sn). Such estimates are determined by a sharp logarithmic Sobolev inequality that relates the entropy of a function on Sn to its smoothness.
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
1992
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| Schlagworte: | |
| Online Zugang: | https://ncbi.nlm.nih.gov/pmc/articles/PMC49178/ https://ncbi.nlm.nih.gov/pubmed/11607294 |
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