Chapter

Geometric Aspects of Functional Analysis

Volume 1807 of the series Lecture Notes in Mathematics pp 169-187

Date:

On the Maximal Perimeter of a Convex Set in \(\mathbb{R}^n\) with Respect to a Gaussian Measure

  • Fedor NazarovAffiliated withDepartment of Mathematics, Michigan State University Email author 

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Abstract

  • Introduction

  • The Case A = I n

  • The General Case

  • Correlation Inequality

  • Proof of the Estimate \(\Gamma (A) \geq c\sqrt{\mid\mid A \mid\mid_{H-S}}\)

  • References

Mathematics Subject Classification (2000):

46-06 46B07 52-06 60-06