论文信息 - Competing symmetries, the logarithmic HLS inequality and Onofri's inequality onsn

Competing symmetries, the logarithmic HLS inequality and Onofri's inequality onsn

The sharp version of the logarithmic Hardy-Littlewood-Sobolev inequality including the cases of equality is established. We then show that this implies Beckner's generalization of Onofri's inequality to arbitrary dimensions and determines the cases of equality.

Michael Loss | Eric A. Carlen | E. Carlen | M. Loss

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