Vol. 169, No. 1, 1995
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Volume estimates for log-concave densities with application to iterated convolutions

Marius Junge
Vol. 169 (1995), No. 1, 107–133
DOI: 10.2140/pjm.1995.169.107
Abstract

A connection between volume estimates for a log-concave, symmetric density of a probability measure on ℝn and its maximal value is established. As an application we prove for an absolute constant c0

f ∗ ⋅⋅⋅∗f(0)≤ (√c0)nf(0). ◟---◝◜----◞ m m times

Mathematical Subject Classification 2000
Primary: 46N30
Secondary: 46B09, 47B99, 52A21
Milestones
Received: 10 August 1992
Revised: 26 May 1993
Published: 1 May 1995
Authors
Marius Junge
Department of Mathematics
University of Illinois
1409 W Green, Altgeld Hall
Urbana IL 61801
United States
http:///www.math.uiuc.edu/~mjunge/