000087552 001__ 87552 000087552 005__ 20200716101517.0 000087552 0247_ $$2doi$$a10.1007/s11856-019-1840-3 000087552 0248_ $$2sideral$$a110422 000087552 037__ $$aART-2019-110422 000087552 041__ $$aeng 000087552 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso-Gutiérrez, D.$$uUniversidad de Zaragoza 000087552 245__ $$aThe square negative correlation property on lpn - balls 000087552 260__ $$c2019 000087552 5060_ $$aAccess copy available to the general public$$fUnrestricted 000087552 5203_ $$aIn 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. 000087552 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000087552 590__ $$a0.894$$b2019 000087552 591__ $$aMATHEMATICS$$b136 / 324 = 0.42$$c2019$$dQ2$$eT2 000087552 592__ $$a1.148$$b2019 000087552 593__ $$aMathematics (miscellaneous)$$c2019$$dQ1 000087552 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000087552 700__ $$0(orcid)0000-0002-1344-1425$$aBernués, J.$$uUniversidad de Zaragoza 000087552 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000087552 773__ $$g230 (2019), 895–917$$pIsr. J. Math.$$tIsrael Journal of Mathematics$$x0021-2172 000087552 8564_ $$s362902$$uhttps://zaguan.unizar.es/record/87552/files/texto_completo.pdf$$yPostprint 000087552 8564_ $$s68647$$uhttps://zaguan.unizar.es/record/87552/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000087552 909CO $$ooai:zaguan.unizar.es:87552$$particulos$$pdriver 000087552 951__ $$a2020-07-16-09:23:52 000087552 980__ $$aARTICLE