论文标题
超临界耐磨 - 多线形式的小木不平等现象
Super-critical Hardy--Littlewood inequalities for multilinear forms
论文作者
论文摘要
多线性硬化 - 小木不平等，提供了多连线形式的系数$ t的总和，\ ell_ {p_ {p_ {1}}}^{n} \ times \ times \ cdots \ cdots \ times \ times \ ell_ {p_ {p_ {m}}} $ \ mathbb {c} $）当$ 1/p_ {1}+\ cdots+1/p_ {m} <1。$在本文中，我们研究了关键和超临界情况；即，当$ 1/p_ {1}+\ cdots+1/p_ {m} \ geq1。$时
The multilinear Hardy--Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms $T:\ell_{p_{1}}^{n}\times\cdots \times\ell_{p_{m}}^{n}\rightarrow\mathbb{R}$ (or $\mathbb{C}$) when $1/p_{1}+\cdots+1/p_{m}<1.$ In this paper we investigate the critical and super-critical cases; i.e., when $1/p_{1}+\cdots+1/p_{m}\geq1.$
