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
Pages (from-to)1377-1401
JournalJournal of the London Mathematical Society
Volume103
Issue number4
Early online date24 Nov 2020
DOIs
Publication statusPublished - 30 Jun 2021

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