Connections of Linear Operators Defined by Analytic Functions with \(Q_p\) Spaces


Authors

Z. Orouji - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. R. Aghalary - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. A. Ebadian - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.


Abstract

This paper is concerned mainly with the linear operators \(I_f^{\gamma , \alpha}\) and \(J_f^{\gamma , \alpha}\) of analytic function \(f\).The norm of \(I_f^{\gamma , \alpha}\) and \(J_f^{\gamma , \alpha}\) on some analytic function spaces is computed in this paper. We study the relation between \(I_f^{\gamma , \alpha}\) and \(J_f^{\gamma , \alpha}\) operators, the \(\beta(\lambda)\) spaces and \(Q_p\) spaces \((0<p<\infty)\).


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