# Connections of Linear Operators Defined by Analytic Functions with $Q_p$ Spaces

Volume 10, Issue 1, pp 78-84
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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 $(0<p<\infty)$.

### Share and Cite

##### ISRP Style

Z. Orouji, R. Aghalary, A. Ebadian, Connections of Linear Operators Defined by Analytic Functions with $Q_p$ Spaces, Journal of Mathematics and Computer Science, 10 (2014), no. 1, 78-84

##### AMA Style

Orouji Z., Aghalary R., Ebadian A., Connections of Linear Operators Defined by Analytic Functions with $Q_p$ Spaces. J Math Comput SCI-JM. (2014); 10(1):78-84

##### Chicago/Turabian Style

Orouji, Z., Aghalary, R., Ebadian, A.. "Connections of Linear Operators Defined by Analytic Functions with $Q_p$ Spaces." Journal of Mathematics and Computer Science, 10, no. 1 (2014): 78-84

### Keywords

• Integral operator
• $Q_p$ spaces
• Pre-Schwarzian derivative.

•  30H05
•  30H25
•  32A37
•  47B38

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