In this paper we characterize essential norm of composition operators on the spaces of Harmonic Bloch functions. These results extends the similar results that were proven for composition operators on Bloch spaces.2010 Mathematics Subject Classification. 47B33.

In this paper we consider composition operators on Harmonic-Bloch type spaces and we compute the spectrum of composition operators. Also, we characterize isometric composition operators on harmonic Bloch type spaces.in which β f is the Lipschitz number of f and 2020 Mathematics Subject Classification. 47B33.