Published Paper

Inserted: 8 dec 2023
Last Updated: 12 sep 2024

Journal: Annali di Matematica Pura e Applicata
Volume: 203
Pages: 2185–2198
Year: 2024
Doi: https://doi.org/10.1007/s10231-024-01441-3

Abstract:

We prove a quantitative version of the Gaussian Faber-Krahn type inequality proved by Betta, Chiacchio and Ferone for the first Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator, estimating the deficit in terms of the Gaussian Fraenkel asymmetry. As expected, the multiplicative constant only depends on the prescribed Gaussian measure.

Keywords: first Dirichlet eigenvalue, Gaussian analysis, Faber-Krahn inequality, Ornstein-Uhlenbeck Operator

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