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Some isoperimetric inequalities of the kind of Hersch-Monkewitz

✍ Scribed by Gérard Philippin


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
239 KB
Volume
1
Category
Article
ISSN
0093-6413

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📜 SIMILAR VOLUMES


A Functional Form of the Isoperimetric I
✍ S. Bobkov 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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.