On the \(s\)-Gaussian measure in \(\mathbb{R}^n\)

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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Support functions and mean width for \(\alpha\)-concave functions
Concentration of the information in data with log-concave distributions
Moser inequalities in Gauss space
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\(\alpha\)-concave functions and a functional extension of mixed volumes
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Asymptotic Geometric Analysis, Part II
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An Interpolation Proof of Ehrhard’s Inequality
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On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
The generalized Gaussian Minkowski problem

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