Summability of multilinear mappings: Littlewood, Orlicz and beyond

Details Summability of multilinear mappings: Littlewood, Orlicz and beyond Summability of multilinear mappings: Littlewood, Orlicz and beyond

2008-10-12

arxiv.org/abs/0810.2132v1

Mathematics

Functional Analysis

21 pages

Scientific paper

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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