论文标题
BMO的最小条件
Minimal conditions for BMO
论文作者
论文摘要
我们通过卢森堡型表达式研究了最小的可集成性条件，相对于广义振荡，这暗示了给定功能$ f $的成员$ f $。我们的方法简单，清晰且灵活，足以适应几种不同的设置，例如均匀类型的空间，$ \ Mathbb {r}^n $上的非加倍措施，以及与多维数据集的基础相比，定义在更一般基础上的BMO空间。
We study minimal integrability conditions via Luxemburg-type expressions with respect to generalized oscillations that imply the membership of a given function $f$ to the space BMO. Our method is simple, sharp and flexible enough to be adapted to several different settings, like spaces of homogeneous type, non doubling measures on $\mathbb{R}^n$ and also BMO spaces defined over more general bases than the basis of cubes.
