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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