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On weighted Blaschke--Santalo and strong Brascamp--Lieb inequalities

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arxiv 2409.11503 v1 pith:MO7D37EG submitted 2024-09-17 math.FA

Andrea Colesanti , Alexander Kolesnikov , Galyna Livshyts , Liran Rotem This is my paper · ORCID
classification math.FA
keywords inequalitiesapplicationsbeyondblaschke--santaloblaschke-santalobrascamp--liebclassicalexplore
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the conjectured capillary Blaschke-Santal\'o inequality

    math.DG 2025-09 conditional novelty 7.0 of 10

    The capillary Blaschke-Santalo inequality holds for unconditional strictly convex capillary hypersurfaces with theta in (0, pi/2); for theta in (pi/2, pi) the volume product is unbounded.

  2. Centro-affine Poincar\'e inequality: Unconditional convex bodies

    math.AP 2026-07 conditional novelty 6.0 of 10

    For every smooth unconditional convex body, the centro-affine Poincaré inequality holds with sharp constant n for all smooth functions satisfying two orthogonality conditions.

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