Harmonic Functions of Bounded Mean Oscillation and a Class of Ba Spaces


In this paper, we consider the class of harmonic functions of bounded mean oscillation (BMOH) in the upper half space R+m+l (m ≥ 1). We will give a characterization for BMOH (R+m+l) and show how this class is related to a special class of Ba spaces which was introduced by Ding and Luo in general form.

Harmonic Functions Of Bounded Mean Oscillation And A Class Of Ba Spaces (217.5 KiB)