Bohnenblust-Hille inequalities: analytical and computational aspects
Abstract The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors. The present paper briefly surveys recent attempts to attack/solve this problem; it also presents new results, like connections with classical results of the linear theory of absolutely summing operators, and new perspectives.
Saved in:
Main Authors: | , |
---|---|
Format: | Digital revista |
Language: | English |
Published: |
Academia Brasileira de Ciências
2019
|
Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000200201 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | Abstract The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors. The present paper briefly surveys recent attempts to attack/solve this problem; it also presents new results, like connections with classical results of the linear theory of absolutely summing operators, and new perspectives. |
---|