The Harmonic Bloch and Besov Spaces on the Real Unit Ball by an Oscillation

Let be the real unit ball in and . Given a multi-index of nonnegative integers with , we set the quantity where and . In terms of it, we characterize harmonic Bloch and Besov spaces on the real unit ball. This generalizes the main results of Yoneda, 2002, into real harmonic setting.