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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Geometric inequalities for a class of exponential measures
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by Hermann Koenig and Nicole Tomczak-Jaegermann PDF
Proc. Amer. Math. Soc. 133 (2005), 1213-1221 Request permission

Abstract:

Using $M$-ellipsoids we prove versions of the inverse SantalĂł 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 $\mathbb {R}^n$.
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Additional Information
  • Hermann Koenig
  • Affiliation: Mathematisches Seminar, Universitaet Kiel, Ludewig-Meyn-Strasse 4, D-24098 Kiel, Germany
  • Email: hkoenig@math.uni-kiel.de
  • Nicole Tomczak-Jaegermann
  • Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
  • MR Author ID: 173265
  • Email: nicole@ellpspace.math.ualberta.ca
  • Received by editor(s): December 21, 2003
  • Published electronically: November 19, 2004
  • Additional Notes: The second named author holds the Canada Research Chair in Geometric Analysis.
  • Communicated by: David R. Larson
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1213-1221
  • MSC (2000): Primary 46B20, 52A21
  • DOI: https://doi.org/10.1090/S0002-9939-04-07862-1
  • MathSciNet review: 2117224