TY - INPR A1 - Korey, Michael Brian T1 - A decomposition of functions with vanishing mean oscillation N2 - A function has vanishing mean oscillation (VMO) on R up(n) if its mean oscillation - the local average of its pointwise deviation from its mean value - both is uniformly bounded over all cubes within R up(n) and converges to zero with the volume of the cube. The more restrictive class of functions with vanishing lower oscillation (VLO) arises when the mean value is replaced by the minimum value in this definition. It is shown here that each VMO function is the difference of two functions in VLO. T3 - Preprint - (2001) 02 Y1 - 2008 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2383 UR - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25929 ER -