A note on subgaussian estimates for linear functionals on convex bodies Academic Article

abstract

• We give an alternative proof of a recent result of Klartag on the existence of almost subgaussian linear functionals on convex bodies. If K is a convex body in n with volume one and center of mass at the origin, there exists x 0 such that |{y K: |(y, x) | t||(, x)||1} exp(-ct2/log2 (t + 1)) for all t 1, where c > 0 is an absolute constant. The proof is based on the study of the L q-centroid bodies of K. Analogous results hold true for general log-concave measures. 2007 American Mathematical Society.

authors

• Paouris, Grigoris

published proceedings

• PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

• Giannopoulos, A., Pajor, A., & Paouris, G.

citation count

• 9

complete list of authors

• Giannopoulos, A||Pajor, A||Paouris, G

publication date

• March 2007

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Proceedings of the American Mathematical Society  Journal

keywords

• Concentration Of Volume
• Isotropic Convex Bodies
• L-q-centroid Bodies
• Tail Estimates For Linear Functionals

Digital Object Identifier (DOI)

• 10.1090/S0002-9939-07-08778-3

start page

• 2599

end page

• 2606

volume

• 135

issue

• 8

URL

• http://dx.doi.org/10.1090/s0002-9939-07-08778-3