88504 20200716101422.0 doi 10.1007/s00208-019-01834-3 sideral 111669 ART-2019-111669 eng (orcid)0000-0003-1256-3671 Alonso Gutiérrez, David Universidad de Zaragoza Rogers-Shephard and local Loomis-Whitney type inequalities 2019 Access copy available to the general public Unrestricted We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and obtain some new) functional versions of Rogers–Shephard type inequalities as well as some generalizations of the geometric Rogers–Shephard inequality in the case where the subspaces intersect. These generalizations can be regarded as sharp local reverse Loomis–Whitney inequalities. We also obtain a sharp local Loomis–Whitney inequality. info:eu-repo/grantAgreement/ES/MINECO/MTM2015-63699-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.136 2019 2.221 2019 MATHEMATICS 87 / 324 = 0.269 2019 Q2 T1 Mathematics (miscellaneous) 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Artstein-Avidan, Shiri González Merino, Bernardo Jiménez, Carlos Hugo Villa, Rafael 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 374, 3-4 (2019), 1719-1771 Math. Ann. MATHEMATISCHE ANNALEN 0025-5831 484013 http://zaguan.unizar.es/record/88504/files/texto_completo.pdf Postprint 319914 http://zaguan.unizar.es/record/88504/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:88504 articulos driver 2020-07-16-08:42:08 ARTICLE