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2018 Weighted composition operators on the class of subordinate functions
Perumal Muthukumar, Saminathan Ponnusamy
Rocky Mountain J. Math. 48(6): 2055-2068 (2018). DOI: 10.1216/RMJ-2018-48-6-2055

Abstract

In this article, we study the weighted composition operators preserving the class $\mathcal {P}_{\alpha }$ of analytic functions subordinate to $({1+\alpha z})/({1-z})$ for $|\alpha |\leq 1$, $\alpha \neq -1$. Some of its consequences and examples for some special cases are presented.

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Perumal Muthukumar. Saminathan Ponnusamy. "Weighted composition operators on the class of subordinate functions." Rocky Mountain J. Math. 48 (6) 2055 - 2068, 2018. https://doi.org/10.1216/RMJ-2018-48-6-2055

Information

Published: 2018
First available in Project Euclid: 24 November 2018

zbMATH: 06987239
MathSciNet: MR3879316
Digital Object Identifier: 10.1216/RMJ-2018-48-6-2055

Subjects:
Primary: 30C80, 47B33, 47B38
Secondary: 37C25

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 6 • 2018
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