Friday, November 30, 2018 - 14:15 in D5-153
The nonlinear Brascamp-Lieb-inequality
A talk in the Oberseminar Analysis series by
Stefan Buschenhenke from Christian-Albrechts-Universität Kiel
| Abstract: |
We prove a nonlinear variant of the general Brascamp-Lieb inequality. Our proof consists of running an efficient, or "tight", induction on scales argument, which uses the existence of Gaussian near-extremisers to the underlying linear Brascamp-Lieb inequality (Lieb's theorem) in a fundamental way. A key ingredient is an effective version of
Lieb's theorem, which we establish via a careful analysis of near-minimisers of weighted sums
of exponential functions.
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