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Extremal properties of half-spaces for spherically invariant measures

โœ Scribed by V. N. Sudakov; B. S. Tsirel'son

Publisher
Springer US
Year
1978
Tongue
English
Weight
610 KB
Volume
9
Category
Article
ISSN
1573-8795

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โœ F. Barthe ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

We deal with the isoperimetric and the shift problem for subsets of measure 1ร‚2 in product probability spaces. We prove that the canonical central half-spaces are extremal in particular cases: products of log-concave measures on the real line satisfying precise conditions and products of uniform mea