The composition operator on hardy space h2 induced by φ (z)‎=sz+t where, and s + t £1

الملخص EN

We study in this paper the composition operator of induced by the function φ (z) = sz + t where, and We characterize the normal composition operator C φ on Hardy space H2 and other related classes of operators.

In addition to that we study the essential normality of C φ and give some other partial results which are new to the best of our knowledge.