Summability of multilinear forms on classical sequence spaces

Abstract

We present an extension of the Hardy-Littlewood inequality for multi- linear forms. This extension combines repetitions of indexes in the summands and perturbation of the exponent. In particular, we recover a recent result due to G. Araujo and D. Pellegrino.

Keywords: Multilinear forms, summability, Bohnenblust-Hille inequality, Hardy-Little-wood inequality