Composition operator induced by φ (z)‎ = SZ + t for which |s| ≤ 1, |t| < 1 and |s| + |t| ≤ 1

الملخص EN

We study in this paper the composition operator that is induced by φ (z) = sz + t.

We give a characterization of the adjoin of composition operators generated by self-maps of the unit ball of form φ (z) = sz + t for which |s| ≤ 1,|t|<1 and |s|+|t| ≤ 1.

In fact we prove that the adjoin is a product of toeplitz operators and composition operator.

Also, we have studied the compactness of C φ and give some other partial results.