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Best constants for the isoperimetric inequality in quantitative form

โœ Scribed by Cicalese, Marco; Leonardi, Gian Paolo


Book ID
120262771
Publisher
European Mathematical Society
Year
2013
Tongue
English
Weight
233 KB
Volume
15
Category
Article
ISSN
1435-9855

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๐Ÿ“œ SIMILAR VOLUMES


A Functional Form of the Isoperimetric I
โœ S. Bobkov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

Let g be a smooth function on R n with values in [0, 1]. Using the isoperimetric property of the Gaussian measure, it is proved that ,(8 &1 (Eg))&E,(8 &1 ( g)) E |{g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.