On Composition Operators on A2

Journal Title, Volume, Page:

An-Najah University Journal for Research - Natural Sciences - Volume 9, Issue 1, 1995

Year of Publication:

1995

Link:

http://scholar.najah.edu/publication/journal-article/composition-operators-a2

Authors:

Mahmud Ilayyan Masri

Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

Current Affiliation:

Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Preferred Abstract (Original):

If ( Ф) is an analytic function mapping the open unit disk D into itself and A² is the Bergman space of analytic functions on D, the compositon operator C_Ф on A² is defined by
C_Фf = f₀ Ф∀f_£ A².
In this paper we consider the spectral radius, unitary equivalence, sub-normality of C_Ф and study the case Ф(z) = z^m , m = 2, 3,….. in detail.

Attachment	Size
On_Composition _Operators _A2.pdf	752.29 KB

An-Najah Staff

Author Information

On Composition Operators on A2