1. SAMI H. ALTOUM - Department of Mathematics, University College of Qunfudhah, Umm Al-Qura University, Makkah, KSA.
In this paper, we introduce Bloch space ℬ𝐻 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 get the relationship between the Bloch seminorms of a harmonic mapping and the Bloch seminorms of the associated real and imaginary parts.
Banach Space, Bloch Space ℬ𝐻, Harmonic Mapping.