On Products of Composition and Differentiation Operators
Salih Yousuf Mohamed Salih *
Department of Mathematics, College of Science, University of Bakht Al-Ruda, Sudan.
Shawgy Hussein
Department of Math, College of Science, Sudan University of Science and Technology, Sudan.
*Author to whom correspondence should be addressed.
Abstract
In this paper we consider products of composition and differentiation operators on the Hardy spaces. We provide a complete characterization of boundedness and compactness of these operators. M. Moradi and M. Fatehi [1] obtain the explicit condition for these operators to be Hilbert-Schmidt operators. We have a theoretical application on the composition operators with series of perfect symbols.
Keywords: Boundedness, composition operator, compactness, differentiation operators