000088504 001__ 88504 000088504 005__ 20200716101422.0 000088504 0247_ $$2doi$$a10.1007/s00208-019-01834-3 000088504 0248_ $$2sideral$$a111669 000088504 037__ $$aART-2019-111669 000088504 041__ $$aeng 000088504 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso Gutiérrez, David$$uUniversidad de Zaragoza 000088504 245__ $$aRogers-Shephard and local Loomis-Whitney type inequalities 000088504 260__ $$c2019 000088504 5060_ $$aAccess copy available to the general public$$fUnrestricted 000088504 5203_ $$aWe 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. 000088504 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-63699-P 000088504 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000088504 590__ $$a1.136$$b2019 000088504 592__ $$a2.221$$b2019 000088504 591__ $$aMATHEMATICS$$b87 / 324 = 0.269$$c2019$$dQ2$$eT1 000088504 593__ $$aMathematics (miscellaneous)$$c2019$$dQ1 000088504 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000088504 700__ $$aArtstein-Avidan, Shiri 000088504 700__ $$aGonzález Merino, Bernardo 000088504 700__ $$aJiménez, Carlos Hugo 000088504 700__ $$aVilla, Rafael 000088504 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000088504 773__ $$g374, 3-4 (2019), 1719-1771$$pMath. Ann.$$tMATHEMATISCHE ANNALEN$$x0025-5831 000088504 8564_ $$s484013$$uhttps://zaguan.unizar.es/record/88504/files/texto_completo.pdf$$yPostprint 000088504 8564_ $$s319914$$uhttps://zaguan.unizar.es/record/88504/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000088504 909CO $$ooai:zaguan.unizar.es:88504$$particulos$$pdriver 000088504 951__ $$a2020-07-16-08:42:08 000088504 980__ $$aARTICLE