摘要
本文讨论向量位函数的H^p空间的几何性质,包括凸性、光滑性、范数可微性、可补性及对偶性,得到了一系列重要结果。
In this paper some significant geometric properties of H^p spaces of vector-valued functions (inclueding rotundities, smoothities, norm-derivativities, complementarities and dualities) are dealt with in detail. A series of remarkable results are obtained.
关键词
范数
可微性
向量值函数
H空间
Randon-Nikodym property
Rotundity
Smoothity
Ncrm-derivativity
Complementarity
Duality
