87552 20200716101517.0 doi 10.1007/s11856-019-1840-3 sideral 110422 ART-2019-110422 eng (orcid)0000-0003-1256-3671 Alonso-Gutiérrez, D. Universidad de Zaragoza The square negative correlation property on lpn - balls 2019 Access copy available to the general public Unrestricted In this paper we prove that for any p € [2,infinite) the lpn unit ball, Bpn, satisfies the square negative correlation property with respect to every orthonormal basis, while we show it is not always the case for 1 <= p <= 2. In order to do that we regard Bpn as the orthogonal projection of Bpn+1 onto the hyperplane e n+1. We will also study the orthogonal projection of Bpn onto the hyperplane orthogonal to the diagonal vector (1, …, 1). In this case, the property holds for all p >= 1 and n large enough. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.894 2019 MATHEMATICS 136 / 324 = 0.42 2019 Q2 T2 1.148 2019 Mathematics (miscellaneous) 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-1344-1425 Bernués, J. Universidad de Zaragoza 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 230 (2019), 895–917 Isr. J. Math. Israel Journal of Mathematics 0021-2172 362902 http://zaguan.unizar.es/record/87552/files/texto_completo.pdf Postprint 68647 http://zaguan.unizar.es/record/87552/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:87552 articulos driver 2020-07-16-09:23:52 ARTICLE