Article

Summability of multilinear forms on classical sequence spaces

Published in: Quaestiones Mathematicae
Volume 40 , issue 6 , 2017 , pages: 803–809

DOI: 10.2989/16073606.2017.1315345

Author(s): Tony Nogueira Departamento de Matemática, Brazil , Pilar Rueda Departamento de Análisis Matemático, Valencia

Keywords: Primary 47A63 , Secondary 47H60 , Primary 47A63 , Secondary 47H60

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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.

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