Stability for Borell-Brascamp-Lieb inequalities
classification
🧮 math.FA
math.MG
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borell-brascamp-liebinequalitiesstabilityclosecoincideconcaveequalityfunctions
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We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be $L^1$-close to be $p$-concave and to coincide up to homotheties of their graphs.
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