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

Volume 10, Issue 1, pp 78-84 http://dx.doi.org/10.22436/jmcs.010.01.08

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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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Keywords

• Integral operator
• \(Q_p\) spaces
• Pre-Schwarzian derivative.

MSC

•  30H05
•  30H25
•  32A37
•  47B38

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