广义Hlder不等式和BMO(R^n,)空间

ON THE H■LDER'S INEQUALITY AND BMO(R^n, ■) SPACES

借助容许函数引进了L（Ω）空间的概念，并对此空间证明了广义Holder不等式。在此基础上，本文引进BMO（Rn，）的概念，并讨论了它和通常的BMO空间之间的关系。

In this paper, the concept of L (Ω ) spaces is introduced by means of tolerance function.And the Holder's inequality is proved for this kind of spaces. Then the concept of BMO(Rn,)spaces is introduced. At last, the relations between BMO(Rn, ) and BMO(Rn ) is investigated.