doi:10.1007/s11856-019-1840-3engAlonso-Gutiérrez, D.Bernués, J.The square negative correlation property on lpn - ballsART-2019-110422In 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.2019http://zaguan.unizar.es/record/8755210.1007/s11856-019-1840-3http://zaguan.unizar.es/record/87552oai:zaguan.unizar.es:87552Israel Journal of Mathematics 230 (2019), 895–917All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess