Harmonic Banach Space and Harmonic Bloch Norm

In this paper, we introduce Bloch space B_H as the space of functions f which is analytic in the unit disc D such that (1-|z|^2)f^' (z) is abounded. We presented some theorems associated with Banach harmonic space and harmonic Bloch norm. We prove that the Bloch space is not separable, and that harmonic mapping is Bloch.