#### Document Type

Article

#### Subject Area(s)

Mathematics

#### Abstract

It is shown that a locally integrable function f on R" has bounded lower oscillation (f E BLO) if and only if f = MF + h, where F has bounded mean oscillation (F E BMO) and MF < oo a.e., and h is bounded. Here, MF is a variant of the familiar Hardy-Littlewood maximal function: MF = SUpQ 3 X Q( F) (no absolute values), where Q( F) is the mean value of F over the cube Q.

#### Publication Info

*Proceedings of the American Mathematical Society*, Volume 85, Issue 4, 1982, pages 552-556. http://www.ams.org/publications/journals/journalsframework/proc
© 1982 by American Mathematical Society