Rogers-Shephard and local Loomis-Whitney type inequalities

Alonso Gutiérrez, David (Universidad de Zaragoza) ; Artstein-Avidan, Shiri ; González Merino, Bernardo ; Jiménez, Carlos Hugo ; Villa, Rafael

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s00208-019-01834-3

Año: 2019

Publicado en: MATHEMATISCHE ANNALEN 374, 3-4 (2019), 1719-1771
ISSN: 0025-5831

Factor impacto JCR: 1.136 (2019)

Categ. JCR: MATHEMATICS rank: 87 / 324 = 0.269 (2019) - Q2 - T1

Factor impacto SCIMAGO: 2.221 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-63699-P

Tipo y forma: Artículo (PostPrint)

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