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Speaker:
Arnaud Guillin
Affiliation:
University Clermont-Auvergne
Date:
Wed, 27/09/2017 - 09:30 - 10:30
Location:
MPIM Lecture Hall
Parent event:
Metric Measure Spaces and Ricci Curvature We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in $\R^n$ and in the half-space $\R^n_+$. This gives a new bridge between the geometric pont of view of the Brunn-Minkowski inequality and the functional point of view of the Sobolev type inequalities. In this way we unify, simplify and generalize results by S. Bobkov - M. Ledoux, M. del Pino - J. Dolbeault and B. Nazaret.
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