Banach空间L_u~Ψ上的有界线性泛函

Bounded Linear Functionals on Banach Space L Ψ u

设Ｘ是局部紧距离空间，而μ是Ｘ上的全有限Ｂｏｒｅｌ正测度．引进Ｘ上的与Ｌｐ（Ｘ）空间相关的几种Ｂａｎａｃｈ空间、讨论其完备可分性，并给出其上有界线性泛函的积分表示．

Let X be a locally compact metric space, μ a totally finite positive Borel measure on X . Some Banach spaces related to the spaces L p(X) on X are introduced. And the integral representation of bounded linear functionals on them is given.