An isoperimetric result for the Gaussian measure and unconditional sets

Authors
Barthe, F
Citation
F. Barthe, An isoperimetric result for the Gaussian measure and unconditional sets, B LOND MATH, 33, 2001, pp. 408-416
Citations number
8
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
33
Year of publication
2001
Part
4
Pages
408 - 416
Database
ISI
SICI code
0024-6093(200107)33:<408:AIRFTG>2.0.ZU;2-2
Abstract
The paper studies an isoperimetric problem for the Gaussian measure and coo rdinatewise symmetric sets. The notion of boundary measure corresponding to the uniform enlargement is considered, and it is proved that symmetric str ips or their complements have minimal boundary measure.