论文标题
重新排列的消失平均振荡和连续性
Vanishing Mean Oscillation and Continuity of Rearrangements
论文作者
论文摘要
我们研究了VMO功能的重排下降，并表明对于可重排的功能，映射f-> f*可以保留消失的平均振荡。此外，作为BMO的地图，虽然有限，但它不是连续的，但是连续性位于VMO（在某些条件下）的点处。这也适用于对称减少重排。包括许多示例以说明结果。
We study the decreasing rearrangement of functions in VMO, and show that for rearrangeable functions, the mapping f -> f* preserves vanishing mean oscillation. Moreover, as a map on BMO, while bounded, it is not continuous, but continuity holds at points in VMO (under certain conditions). This also applies to the symmetric decreasing rearrangement. Many examples are included to illustrate the results.
