On sharp sobolev embedding and the logarithmic sobolev inequality

Bulletin of the London Mathematical Society

Volumn 30, Issue 1, 1998, Pages 80-84

  Beckner, William ^a   Pearson, Michael ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031987054     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609397003901     Document Type: Review

References (12)

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6. W. BECKNER 'Sharp inequalities and geometric manifolds', J. Fourier Anal. Appl. to appear.
7. W. BECKNER 'On the Hardy-Littlewood-Sobolev inequality', in preparation.
8. J. E. BROTHERS and W. P. ZIEMER, 'Minimal rearrangements of Sobolev functions', J. Reine Angew. Math. 384 (1988) 153-179.
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10. E. H. LIEB, 'Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. 118 (1983) 349-374.
11. G. TALENTI, 'Best constant in Sobolev inequality', Ann. Mat. Pura Appl. 110 (1976) 353-372.
12. F. B. WEISSLER, 'Logarithmic Sobolev inequalities for the heat-diffusion semi-group'. Trans. Amer. Math. Soc. 237 (1978) 255-269.