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math.FA2022
The case of equality in geometric instances of Barthe's reverse Brascamp-Lieb inequalit
Karoly J. Boroczky, Pavlos Kalantzopoulos, Dongmeng Xi
The works of Bennett, Carbery, Christ, Tao and of Valdimarsson have clarified when equality holds in the Brascamp-Lieb inequality. Here we characterize the case of equality in the…
math.FA2022
A quantitative stability result for the Prékopa-Leindler inequality for arbitrary measurable functions
Károly J. Böröczky, Alessio Figalli, João P. G. Ramos
We prove that if a triplet of functions satisfies almost equality in the Prékopa-Leindler inequality, then these functions are close to a common log-concave function, up to multipl…