The Composition operator on hardy space H2 Induced by φ(z)=sz+t where |s| ≤ 1 , |t|< 1 and |s|+|t|≤ 1

Authors

Eiman Hassan Abood

Abstract

We study in this paper the composition operator of induced by the function φ(z)=sz+t where |s| ≤ 1 , |t|< 1 and |s|+|t|≤ 1. We characterize the normal composition operator Cφon Hardy spaceH2 and other related classes of operators. In addition to that we study the essential normality of Cφand give some other partial results which are new to the best of our knowledge

Article Type

Article

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How to Cite this Article

Abood, Eiman Hassan (2010) "The Composition operator on hardy space H2 Induced by φ(z)=sz+t where |s| ≤ 1 , |t|< 1 and |s|+|t|≤ 1," Baghdad Science Journal: Vol. 7: Iss. 3, Article 27.
DOI: https://doi.org/10.21123/bsj.2010.7.3.1275-1281