A new multilinear insight on Littlewood's 4/3-inequality
A new multilinear insight on Littlewood's 4/3-inequality
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对 Littlewood 4/3 不等式的新多线性见解
DOI：
10.1016/j.jfa.2008.07.005
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
P. Sevilla
中科院分区：
文献类型：
--
作者：
A. Defant;P. Sevilla
我们统一Littlewood的经典4/3-不等式（Grothendieck不等式的前身）连同其m-线性扩展由于Bohnenblust和Hille（最初解决了玻尔的Dirichlet级数的绝对收敛问题）与不等式的规模班尼特和卡尔在Pupp-空间（这是非常重要的理论中的特征值分布的幂紧算子）。作为应用，我们给出了c 0上齐次双p值多项式的单项式系数的估计。
We unify Littlewood's classical 4/3-inequality (a forerunner of Grothendieck's inequality) together with its m-linear extension due to Bohnenblust and Hille (which originally settled Bohr's absolute convergence problem for Dirichlet series) with a scale of inequalties of Bennett and Carl in ℓp-spaces (which are of fundamental importance in the theory of eigenvalue distribution of power compact operators). As an application we give estimates for the monomial coefficients of homogeneous ℓp-valued polynomials on c0.