ON THE ISOPERIMETRIC DEFICIT IN GAUSS SPACE

ON THE ISOPERIMETRIC DEFICIT IN GAUSS SPACE

We prove a sharp quantitative version of the isoperimetric inequality in the space ℝⁿ endowed with the Gaussian measure.

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Veröffentlicht in:American journal of mathematics 2011-02, Vol.133 (1), p.131-186
Hauptverfasser: Cianchi, A., Fusco, N., Maggi, F., Pratelli, A.
Format: Artikel
Sprache:eng
Schlagworte:
Borel sets
Coordinate systems
Exact sciences and technology
Fubinis theorem
Functional analysis
General mathematics
General, history and biography
Geometry
Hyperplanes
Logical proofs
Mathematical analysis
Mathematical functions
Mathematical inequalities
Mathematical theorems
Mathematics
Measure and integration
Normal distribution
Sciences and techniques of general use
Symmetry
Theorems
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Beschreibung
Zusammenfassung:We prove a sharp quantitative version of the isoperimetric inequality in the space ℝⁿ endowed with the Gaussian measure.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2011.0005