Title of article
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
Author/Authors
Bobkov، نويسنده , , S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1996
Pages
11
From page
39
To page
49
Abstract
Letgbe a smooth function on Rnwith values in [0, 1]. Using the isoperimetric property of the Gaussian measure, itis proved thatφ(Φ−1(Eg))−Eφ(Φ−1(g))⩽E|∇g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.
Journal title
Journal of Functional Analysis
Serial Year
1996
Journal title
Journal of Functional Analysis
Record number
1547283
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