Properties of the function Ф and the composition operator C Ф induced by the function Ф
Other Title(s)
خواص الدالة Ф و المؤثر التركيبي C Ф المتولد بالدالة Ф
Author
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 4, Issue 2 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2012-12-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract EN
Let U denote the unit ball in the complex plane, the Hardy space H2 is the set of functions holomorphic on U such that with denotes then the Taylor coefficient of f .
Let be a holomorphic self-map of U, the composition operator induced by is defined on H2 by the equation In this paper we have studied the composition operator induced by the automorphism and discussed the adjoint of the composition of the symbol .We look also for some known properties on composition operators and tried to see the analogue properties in order to show how the results are changed by changing the function in U.
In order to make the work accessible to the reader, we have included some known results with the details of the proofs for some cases and proofs for the properties .
American Psychological Association (APA)
Husayn, Aqil Muhammad. 2012. Properties of the function Ф and the composition operator C Ф induced by the function Ф. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 4, no. 2, pp.1-10.
https://search.emarefa.net/detail/BIM-796751
Modern Language Association (MLA)
Husayn, Aqil Muhammad. Properties of the function Ф and the composition operator C Ф induced by the function Ф. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 4, no. 2 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-796751
American Medical Association (AMA)
Husayn, Aqil Muhammad. Properties of the function Ф and the composition operator C Ф induced by the function Ф. al-Qadisiyah Journal for Computer Science and Mathematics. 2012. Vol. 4, no. 2, pp.1-10.
https://search.emarefa.net/detail/BIM-796751
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 9
Record ID
BIM-796751