Título: | On the real polynomial Bohnenblust-Hille inequality |
Autores: | Campos, J.R. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. |
Tipo de documento: | texto impreso |
Editorial: | Elsevier, 2015 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/openAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
Resumen: |
Abstract. It was recently proved by Bayart et al. that the complex polynomial Bohnenblust–Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreover, we show that, if DR,m stands for the real Bohnenblust–Hille constant for m-homogeneous polynomials, then lim sup(m) D-R,m(1/m) = 2, a quite surprising result having in mind that the exact value of the Bohnenblust-Hille constants is still a mystery. |
En línea: | https://eprints.ucm.es/id/eprint/28282/1/Mu%C3%B1ozFernandez1001.pdf |
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