Chalendar, I and Partington, JR orcid.org/0000-0002-6738-3216 (2019) The reproducing kernel thesis for lower bounds of weighted composition operators. Archiv der Mathematik, 133 (2). pp. 179-187. ISSN 0003-889X
Abstract
It is shown that the property of being bounded below (having closed range) of weighted composition operators on Hardy and Bergman spaces can be tested by their action on a set of simple test functions, including reproducing kernels. The methods used in the analysis are based on the theory of reverse Carleson embeddings.
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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Reproducing kernel; Weighted composition operator; Reverse Carleson measure; Hardy space; Bergman space; Test functions |
Dates: |
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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: | 18 Mar 2019 14:14 |
Last Modified: | 25 Jun 2023 21:45 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00013-019-01323-8 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:143721 |
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