The EMS Publishing House is now EMS Press and has its new home at ems.press.
Please find all EMS Press journals and articles on the new platform.
Portugaliae Mathematica
Full-Text PDF (99 KB) | Metadata |
Table of Contents | PM summary
Volume 76, Issue 3/4, 2019, pp. 395–406
DOI: 10.4171/PM/2040
Published online: 2020-07-15
Remarks on the Bohnenblust–Hille inequalities
Djair Paulino[1], Daniel Pellegrino[2] and Joedson Santos[3] (1) Universidade Federal da Paraíba, João Pessoa, Brazil(2) Universidade Federal da Paraíba, João Pessoa, Brazil
(3) Universidade Federal da Paraíba, João Pessoa, Brazil
We revisit the Bohnenblust–Hille multilinear and polynomial inequalities and prove some new properties. Our main result is a multilinear version of a recent result on polynomials whose monomials have a uniformly bounded number of variables.
Keywords: Bohnenblust–Hille inequalities, multilinear forms, sequence spaces
Paulino Djair, Pellegrino Daniel, Santos Joedson: Remarks on the Bohnenblust–Hille inequalities. Port. Math. 76 (2019), 395-406. doi: 10.4171/PM/2040