On weighted Blaschke--Santalo and strong Brascamp--Lieb inequalities
Andrea Colesanti, Alexander Kolesnikov, Galyna Livshyts, Liran Rotem
TL;DR
This paper introduces new extensions of the functional Blaschke-Santalo inequalities and explores their applications beyond the classical Gaussian measure setting.
Contribution
It presents novel extensions of Blaschke-Santalo inequalities and investigates their broader applicability in different measure contexts.
Findings
New inequalities extending Blaschke-Santalo framework
Applications demonstrated beyond Gaussian measures
Potential implications for convex geometry and analysis
Abstract
In this paper, we study new extensions of the functional Blaschke-Santalo inequalities, and explore applications of such new inequalities beyond the classical setting of the standard Gaussian measure.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Mathematical Inequalities and Applications · Matrix Theory and Algorithms