On the isoperimetric constants for product measures

Sergey G. Bobkov

doi:10.1007/s10958-009-9425-z

On the isoperimetric constants for product measures

Sergey G. Bobkov

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Isoperimetric constants of product probability measures are known to have an almost dimension-free character. We propose a new proof based on certain Sobolev-type inequalities of additive type (introduced by the author in connection with the isoperimetric problem in Gauss space). Bibliography: 18 titles.

Original language	English (US)
Pages (from-to)	47-53
Number of pages	7
Journal	Journal of Mathematical Sciences
Volume	159
Issue number	1
DOIs	https://doi.org/10.1007/s10958-009-9425-z
State	Published - May 1 2009

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