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

Leonor  Aquino-ruivivar,

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

Abstract:

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.