Weak integral conditions for BMO

Alexander A. Logunov, Leonid Slavin, Dmitriy M. Stolyarov +2

We study the question of how much one can weaken the defining condition of BMO. Specifically, we show that if $Q$ is a cube in ${\mathbb{R}}^n$ and $h:[0,\infty )\to [0,\infty )$ is suc…