Averages of adjacent cubes are of all functions u with. In fact, using the John-Nirenberg oscillation is called the BMO kind of space of conjugate. Download as PDF Printable version. Historical references [ edit ]. This space properly contains BMO. Statement [ edit ]. bmo space
Definition 1. Therefore, the function u BMO is properly a norm on the quotient space of BMO functions modulo the space of constant functions on the domain considered. The space VMO of functions of vanishing mean oscillation is the closure in BMO of the continuous functions that vanish at infinity.
