Summation of coefficients of polynomials on l(p) spaces
[EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on l(p1) X...X l(pm). The first results in this respect go back to...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/99727 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/99727 |
| Access Level: | acceso abierto |
| Palabra clave: | Homogeneous polynomials Multilinear mappings Sequence spaces Hardy-Littlewood inequalities MATEMATICA APLICADA |
| Sumario: | [EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on l(p1) X...X l(pm). The first results in this respect go back to Littlewood [17] and Bohnenblust and HiIle [6] for bilinear and m-linear forms on c(0), and Hardy and Littlewood [15] and Praciano-Pereira [20] for bilinear and m-linear forms on arbitrary l(p) spaces. Our results recover and in some case complete these old results through a general approach on vector valued m-linear mappings. |
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