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 language | English |
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Pages (from-to) | 1377-1401 |
Journal | Journal of the London Mathematical Society |
Volume | 103 |
Issue number | 4 |
Early online date | 24 Nov 2020 |
DOIs | |
Publication status | Published - 30 Jun 2021 |