On generalized superposition operator acting of analytic function spaces
Mohamed, A. (2015). On generalized superposition operator acting of analytic function spaces. EKB Journal Management System, 23(1), 134-138. doi: 10.1016/j.joems.2014.02.014
Alaa Kamal Mohamed. "On generalized superposition operator acting of analytic function spaces". EKB Journal Management System, 23, 1, 2015, 134-138. doi: 10.1016/j.joems.2014.02.014
Mohamed, A. (2015). 'On generalized superposition operator acting of analytic function spaces', EKB Journal Management System, 23(1), pp. 134-138. doi: 10.1016/j.joems.2014.02.014
Mohamed, A. On generalized superposition operator acting of analytic function spaces. EKB Journal Management System, 2015; 23(1): 134-138. doi: 10.1016/j.joems.2014.02.014

On generalized superposition operator acting of analytic function spaces

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 134-138    PDF (437.58 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.02.014
Author
Alaa Kamal Mohamed*
Port Said University, Faculty of Science, Department of Mathematics, Port Said 42521, Egypt
Abstract
In this paper we introduce a new integration operator SðnÞ
g;/, where
SðnÞ
g;/ ¼
Z z
0
/ðnÞ
ðfðnÞÞgðnÞdn:
We characterize all entire functions that transform a Bloch-type space into another by this new
integration operator. Also, we prove that all generalized superposition operators induced by such
entire functions are bounded.
Keywords
Bloch space; Generalized superposition operators
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