Extremal properties of central half-spaces for product measures
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Publication:5937217
DOI10.1006/jfan.2000.3708zbMath0984.28003OpenAlexW1986405646MaRDI QIDQ5937217
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
Riemannian manifoldproduct measuresBobkov-type functionalisoperimetric functionallog-concave probabilitiesshift functionaluniform probabilitiesunimodal measuresunimodal probabilities
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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Cites Work
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- Sections of the unit ball of \(\ell ^ n_ p\)
- On a reverse form of the Brascamp-Lieb inequality
- A geometric inequality with applications to linear forms
- Weyl numbers in sequence spaces and sections of unit balls
- The Brunn-Minkowski inequality in Gauss space
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Extremal properties of half-spaces for spherically invariant measures
- Characterization of Gaussian measures by the isoperimetric property of half-spaces
- Isoperimetric constants for product probability measures
- An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
- Gaussian measures of dilatations of convex symmetric sets
- Some remarks on isoperimetry of Gaussian type
- From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
- The size of singular component and shift inequalities
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- Extremal properties of half-spaces for log-concave distributions
- Gitterperiodische Punktmengen und Isoperimetrie
- Shift inequalities of Gaussian type and norms of barycentres
- Logarithmic Sobolev Inequalities
- Unimodality and Dominance For Symmetric Random Vectors
- Inégalités de Brascamp-Lieb et convexité
- Die Brunn‐Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I
- The geometry of Markov diffusion generators
