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math.PR2016
An inequality for moments of log-concave functions on Gaussian random vectors
Nikos Dafnis, Grigoris Paouris
We prove a sharp moment inequality for a log-concave or a log-convex function, on Gaussian random vectors. As an application we take a stability result for the classical logarithmi…
math.PR2013★ 3 cited
Improved Hölder and reverse Hölder inequalities for correlated Gaussian random vectors
Wei-Kuo Chen, Nikos Dafnis, Grigoris Paouris
We propose algebraic criteria that yield sharp Hölder types of inequalities for the product of functions of Gaussian random vectors with arbitrary covariance structure. While our l…