On affine invariant and local Loomis–Whitney type inequalities

Alonso Gutiérrez, David (Universidad de Zaragoza) ; Bernués, Julio (Universidad de Zaragoza) ; Brazitikos, Silouanos ; Carbery, Anthony

Resumen: 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 $w_i$ of a not necessarily orthonormal basis of $\mathbb{R^n}$ , or their orthogonal complements. In order to prove such inequalities, we estimate the constant in the Brascamp–Lieb inequality in terms of the vectors $w_i$ . Restricted and functional versions of the inequality will also be considered.

Idioma: Inglés

DOI: 10.1112/jlms.12411

Año: 2020

Publicado en: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 103, 4 (2020), 1377-1401
ISSN: 0024-6107

Factor impacto JCR: 1.137 (2020)

Categ. JCR: MATHEMATICS rank: 126 / 330 = 0.382 (2020) - Q2 - T2

Factor impacto SCIMAGO: 1.441 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77710-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)