97034 20211117102004.0 doi 10.1112/jlms.12411 sideral 120845 ART-2020-120845 eng Alonso Gutiérrez, David Universidad de Zaragoza (orcid)0000-0003-1256-3671 On affine invariant and local Loomis–Whitney type inequalities 2020 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77710-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.137 2020 MATHEMATICS 126 / 330 = 0.382 2020 Q2 T2 1.441 2020 Mathematics (miscellaneous) 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Bernués, Julio Universidad de Zaragoza (orcid)0000-0002-1344-1425 Brazitikos, Silouanos Carbery, Anthony 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 103, 4 (2020), 1377-1401 J. Lond. Math. Soc. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 0024-6107 420117 http://zaguan.unizar.es/record/97034/files/texto_completo.pdf Postprint 244115 http://zaguan.unizar.es/record/97034/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:97034 articulos driver 2021-11-15-14:34:51 ARTICLE