摘要
Benedk与Calderón给出作用在向量值函数空间L_0~∞(B)上的次线性算子是(p,p)型的一个充分条件。本文对这结果作了推广,给出作用在向量值函数空间L_0~∞(B)上的次线性算子是(p,q)型的一个充分条件。
Benedek-Calderón gives a sufficient condition of the fact that a sublinear operator which acts on the vector-valued function space L_0~∝(B) is of type (p,p). In this paper, the above result is generalized and a sufficient condition of the fact that a sublinear operator acting on the space L_0~∝ (B) is of type (p,q) is given.
基金
国家自然科学基金
关键词
BANACH空间
次线性算子
强可测函数
banach space, measurable functions, sublinear operator, class of bounded function.
