Abstract
Let p be a positive number. Consider the probability measure γp with density φp(y)=cn,pe−|y|pp. We show that the maximal surface area of a convex body in Rn with respect to γp is asymptotically equivalent to C(p)n34−1p, where the constant C(p) depends on p only. This is a generalization of results due to Ball (1993) [1] and Nazarov (2003) [9] in the case of the standard Gaussian measure γ2.
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