𝔖 Bobbio Scriptorium
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On containment measure and the mixed isoperimetric inequality

✍ Scribed by Xu, Wenxue; Zhou, Jiazu; Zhu, Baocheng

Book ID
125396818
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
246 KB
Volume
2013
Category
Article
ISSN
1025-5834

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πŸ“œ SIMILAR VOLUMES

A Functional Form of the Isoperimetric I
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
✍ S. Bobkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.