Summation of coefficients of polynomials on Lp spaces
Dimant, Verónica (Universidad de San Andrés (Buenos Aires, Argentina). Departamento de Matemática)
Sevilla-Peris, Pablo (Universitat Politècnica de Valéncia. Instituto Universitario de Matemática Pura y Aplicada)

Date:	2016
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Homogeneous polynomials ; Multilinear mappings ; Sequence spaces ; Hardy-littlewood inequalities
Published in:	Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 289-310 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/311009
DOI: 10.5565/PUBLMAT_60216_02

22 p, 413.6 KB

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