Summability of multilinear mappings: Littlewood, Orlicz and beyond
Functional Analysis
2008-10-14 v1
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.
Keywords
Cite
@article{arxiv.0810.2132,
title = {Summability of multilinear mappings: Littlewood, Orlicz and beyond},
author = {Oscar Blasco and Geraldo Botelho and Daniel Pellegrino and Pilar Rueda},
journal= {arXiv preprint arXiv:0810.2132},
year = {2008}
}
Comments
21 pages