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Pàgina inicial > Articles > Articles publicats > Summation of coefficients of polynomials on Lp spaces |
Data: | 2016 |
Resum: | We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on 'p spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings defined on Lp1 x . . . x Lpm. The first results in this respect go back to Littlewood [17] and Bohnenblust and Hille [6] for bilinear and m-linear forms on c0, and Hardy and Littlewood [15] and Praciano-Pereira [20] for bilinear and m-linear forms on arbitrary 'p spaces. Our results recover and in some case complete these old results through a general approach on vector valued m-linear mappings. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Homogeneous polynomials ; Multilinear mappings ; Sequence spaces ; Hardy-littlewood inequalities |
Publicat a: | Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 289-310 (Articles) , ISSN 2014-4350 |
22 p, 413.6 KB |