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Perturbations in the Gaussian isoperimetric inequality

✍ Scribed by S. G. Bobkov

Publisher
Springer US
Year
2010
Tongue
English
Weight
204 KB
Volume
166
Category
Article
ISSN
1573-8795

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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.