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• W2950216985 abstract "For a closed connected surface with a metric g, we consider the regularized trace of the inverse of the Laplace-Beltrami operator. We minimize this on the class of smooth metrics conformal to g having the same area, and show that the infimum is less than or equal to the value for the round sphere of the same area, and if it is equal, then it is attained. In fact we prove the analogs of these results for general dimensional compact manifolds. Explicitly, the results are logarithmic Hardy-Littlewood-Sobolev inequalites. By duality they give analogs of the Onofri-Beckner theorem." @default.
• W2950216985 created "2019-06-27" @default.
• W2950216985 creator A5079299474 @default.
• W2950216985 date "2006-03-30" @default.
• W2950216985 modified "2023-09-27" @default.
• W2950216985 title "Extremals for Logarithmic Hardy-Littlewood-Sobolev inequalities on compact manifolds" @default.
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• W2950216985 hasPublicationYear "2006" @default.
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