Artículo
Summation of coefficients of polynomials on lp-spaces
Fecha de publicación:
07/2016
Editorial:
Univeristat Autònoma de Barcelona
Revista:
Publicacions Matematiques
ISSN:
0214-1493
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We investigate the summability of the coefficients of $m$-homogeneous polynomials and $m$-linear mappings defined on $\ell_{p}$-spaces. In our research we obtain resultson the summability of the coefficients of $m$-linear mappings defined on $\ell_{p_{1}} \times \cdots \times \ell_{p_{m}}$. The first results in this respect go back to Littlewood andBohnenblust and Hille (for bilinear and $m$-linear forms on $c_{0}$) and Hardy and Littlewood and Praciano-Pereira (for bilinear and $m$-linear forms on arbitrary $\ell_{p}$-spaces).Our results recover and in some case complete these old results through a general approach on vector valued $m$-linear mappings.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Dimant, Veronica Isabel; Sevilla Peris, Pablo; Summation of coefficients of polynomials on lp-spaces; Univeristat Autònoma de Barcelona; Publicacions Matematiques; 60; 2; 7-2016; 289-310
Compartir
Altmétricas