Geometric inequalities for a class of exponential measures期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Geometric inequalities for a class of exponential measures

Authors:	Hermann Koenig Nicole Tomczak-Jaegermann

Affiliation:	Mathematisches Seminar, Universitaet Kiel, Ludewig-Meyn-Strasse~4, D-24098 Kiel, Germany ; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

Abstract:	Using -ellipsoids we prove versions of the inverse Santaló inequality and the inverse Brunn-Minkowski inequality for a general class of measures replacing the usual volume on $mathbb{R}^n$ . This class contains in particular the Gaussian measure on $mathbb{R}^n$ .

Keywords:	Asymptotic geometric analysis Santal'{o} and Brunn-Minkowski inequalities $M$-ellipsoids

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