Extremal properties of central half-spaces for product measures

DOI10.1006/jfan.2000.3708zbMath0984.28003OpenAlexW1986405646MaRDI QIDQ5937217

Franck Barthe

Publication date: 1 May 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3708

zbMATH Keywords

Riemannian manifoldproduct measuresBobkov-type functionalisoperimetric functionallog-concave probabilitiesshift functionaluniform probabilitiesunimodal measuresunimodal probabilities

Mathematics Subject Classification ID

Gaussian processes (60G15) Banach spaces of continuous, differentiable or analytic functions (46E15) Applications of functional analysis in probability theory and statistics (46N30) Measures and integrals in product spaces (28A35)

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Volume inequalities for sections and projections of Wulff shapes and their polars ⋮ Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry ⋮ Parabolic equations related to Boltzmann measure ⋮ Autour de l'inégalité de Brunn-Minkowski ⋮ On extremal sections of subspaces of \(L_p\) ⋮ Sections and projections of \(L_p\)-zonoids and their polars ⋮ Random ball-polyhedra and inequalities for intrinsic volumes ⋮ A probabilistic approach to the geometry of the \(\ell^n_p\)-ball ⋮ On a convexity property of sections of the cross-polytope ⋮ The periodic isoperimetric problem

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