Chalendar, I and Partington, JR (2013) Norm estimates for weighted composition operators on spaces of holomorphic functions. Complex Analysis and Operator Theory. 1 - 9. ISSN 1661-8254
Abstract
This paper shows that the boundedness of a weighted composition operator on the Hardy-Hilbert space on the disc or half-plane implies its boundedness on a class of related spaces, including weighted Bergman spaces. The methods used involve the study of lower-triangular and causal operators.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2013, Springer Verlag. This is an author produced version of a paper published in Complex Analysis and Operator Theory. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at link.springer.com |
Keywords: | Weighted composition operator; Hardy space; Weighted Bergman space; Zen space; Lower-triangular operator; Causal operator |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Feb 2014 12:37 |
Last Modified: | 22 Oct 2015 12:56 |
Published Version: | http://dx.doi.org/10.1007/s11785-013-0340-4 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s11785-013-0340-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77611 |