论文标题
关于减少重排和平均振荡在测量空间的注释
A note on decreasing rearrangement and mean oscillation on measure spaces
论文作者
论文摘要
我们在$ \ mathbb {r} _+$上的减少重排$ f^*$的平均振荡方面得出了界限。在倍增度量衡量空间的特殊情况下，结合仅取决于加倍常数。
We derive bounds on the mean oscillation of the decreasing rearrangement $f^*$ on $\mathbb{R}_+$ in terms of the mean oscillation of $f$ on a suitable measure space $X$. In the special case of a doubling metric measure space, the bound depends only on the doubling constant.
