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An Isoperimetric Result for the Gaussian Measure and Unconditional Sets
Author(s) -
Barthe F.
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1017/s0024609301008141
Subject(s) - isoperimetric inequality , mathematics , measure (data warehouse) , isoperimetric dimension , boundary (topology) , gaussian measure , gaussian , mathematical analysis , combinatorics , pure mathematics , physics , quantum mechanics , computer science , database
The paper studies an isoperimetric problem for the Gaussian measure and coordinatewise symmetric sets. The notion of boundary measure corresponding to the uniform enlargement is considered, and it is proved that symmetric strips or their complements have minimal boundary measure.