@article{b03caf02baeb45219d13965f2e9fcdc7,
title = "Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality",
abstract = "We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality for entropy. A linearization of this inequality gives an inverse inequality to the Poincar{\'e} inequality for the Gaussian measure.",
keywords = "Affine isoperimetric inequality, Logarithmic Sobolev inequality",
author = "S. Artstein-Avidan and B. Klartag and C. Sch{\"u}tt and E. Werner",
note = "Funding Information: * Corresponding author at: Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106, USA. E-mail addresses: shiri@post.tau.ac.il (S. Artstein-Avidan), klartagb@tau.ac.il (B. Klartag), schuett@math.uni-kiel.de (C. Sch{\"u}tt), elisabeth.werner@case.edu (E. Werner). 1 Partially supported by BSF grant No. 2006079 and by ISF grant No. 865/07. 2 Partially supported by an ISF grant and an IRG grant. 3 Partially supported by NSF grant and BSF grant No. 2006079.",
year = "2012",
month = may,
day = "1",
doi = "10.1016/j.jfa.2012.02.014",
language = "אנגלית",
volume = "262",
pages = "4181--4204",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "9",
}