On affine invariant and local Loomis-Whitney type inequalities

David Alonso-Gutiérrez, Julio Bernués, Silouanos Brazitikos, Anthony Carbery

Research output: Contribution to journalArticlepeer-review

Abstract

We prove various extensions of the Loomis-Whitney inequality and its dual, where the subspaces on which the projections (or sections) are considered are either spanned by vectors wi of a not necessarily orthonormal basis of Rn, or their orthogonal complements. In order to prove such inequalities we estimate the constant in the Brascamp-Lieb inequality in terms of the vectors wi. Restricted and functional versions of the inequality will also be considered.
Original languageEnglish
Number of pages26
JournalJournal of the London Mathematical Society
Early online date24 Nov 2020
DOIs
Publication statusE-pub ahead of print - 24 Nov 2020

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