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An Isoperimetric Result for the Gaussian Measure and Unconditional Sets

An Isoperimetric Result for the Gaussian Measure and Unconditional Sets 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

An Isoperimetric Result for the Gaussian Measure and Unconditional Sets

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References (8)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1017/S0024609301008141
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jul 1, 2001

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