B_a空间中Kantorovich算子的饱和性

THE Ba SATURATION OF THE KANTOROVICH OPERATORS

本文给出了 B_a 空间的对偶空间,初步讨论了 B_a 空间中,Hardy-Littlewood 极大函数及 B_a 空间中有界线性泛函的性质,进而讨论了B_a空间中 Kantorovich 算子的饱和性。

In this paper,the dual spaces of B_a Spaces is given and the propertiesof the Hardy Littlewood Maximal function is studied.At last,the authorstudies the bounded functional of B_a spaces and the Saturation of KantorovichOperators in the B_a Spaces.