Alexander V. Kolesnikov, Emanuel Milman
Published 2016-01-12Version 1
A sharp Poincar\'e-type inequality is derived for the restriction of the Gaussian measure on the boundary of a convex set. In particular, it implies a Gaussian mean-curvature inequality and a Gaussian iso second-variation inequality. The new inequality is nothing but an infinitesimal form of Ehrhard's inequality for the Gaussian measure.
On Extend the Domain of (Co)convex Polynomial
Remark on the stability of Log-Sobolev inequality for Gaussian measure
Whitney coverings and the tent spaces $T^{1,q}(γ)$ for the Gaussian measure
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