Translator Disclaimer
2019 Essentially hyponormal weighted composition operators on the Hardy and weighted Bergman spaces
Mahsa Fatehi
Rocky Mountain J. Math. 49(4): 1129-1142 (2019). DOI: 10.1216/RMJ-2019-49-4-1129

Abstract

Let $\varphi $ be an analytic self-map of the open unit disk $\mathbb {D}$ and let $\psi $ be an analytic function on $\mathbb {D}$ such that the weighted composition operator $C_{\psi ,\varphi }$ defined by $C_{\psi ,\varphi }(f)=\psi f\circ \varphi $ is bounded on the Hardy and weighted Bergman spaces. We characterize those weighted composition operators $C_{\psi ,\varphi }$ on $H^{2}$ and $A_{\alpha }^{2}$ that are essentially hypo-normal, when $\varphi $ is a linear-fractional non-automorphism.

Citation

Download Citation

Mahsa Fatehi. "Essentially hyponormal weighted composition operators on the Hardy and weighted Bergman spaces." Rocky Mountain J. Math. 49 (4) 1129 - 1142, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1129

Information

Published: 2019
First available in Project Euclid: 29 August 2019

zbMATH: 07104710
MathSciNet: MR3998914
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1129

Subjects:
Primary: 47B33
Secondary: 47B20

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.49 • No. 4 • 2019
Back to Top