The square negative correlation property on lpn - balls

Alonso-Gutiérrez, D. (Universidad de Zaragoza) ; Bernués, J. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s11856-019-1840-3

Año: 2019

Publicado en: Israel Journal of Mathematics 230 (2019), 895–917
ISSN: 0021-2172

Factor impacto JCR: 0.894 (2019)

Categ. JCR: MATHEMATICS rank: 136 / 324 = 0.42 (2019) - Q2 - T2

Factor impacto SCIMAGO: 1.148 - Mathematics (miscellaneous) (Q1)

Tipo y forma: Artículo (PostPrint)

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