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arXiv · 0810.2132

Summability of multilinear mappings: Littlewood, Orlicz and beyond

Oscar Blasco·Geraldo Botelho·Daniel Pellegrino·Pilar Rueda
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Abstract

In this paper we prove a plenty of new results concerning summabililty properties of multilinear mappings between Banach spaces, such as an extension of Littlewood's 4/3 Theorem. Among other features, it is shown that every continuous n-linear form on the disc algebra or the Hardy space is (1;2,...,2)-summing, the role of the Littlewood-Orlicz property in the theory is established and the interplay with almost summing multilinear mappings is explored.

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Oscar Blasco, Geraldo Botelho, Daniel Pellegrino, Pilar Rueda. 2008-10-12. Summability of multilinear mappings: Littlewood, Orlicz and beyond. https://arxiv.org/abs/0810.2132

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