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Mathematics > Functional Analysis

arXiv:1812.08121 (math)
[Submitted on 19 Dec 2018 (v1), last revised 25 Feb 2019 (this version, v2)]

Title:The reproducing kernel thesis for lower bounds of weighted composition operators

Authors:Isabelle Chalendar, Jonathan R. Partington
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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.
Comments: 10 pages, revised version (minor corrections)
Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)
MSC classes: 47B33, 30H10, 32A36, 47B32
Cite as: arXiv:1812.08121 [math.FA]
  (or arXiv:1812.08121v2 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1812.08121

Submission history

From: Jonathan Partington [view email]
[v1] Wed, 19 Dec 2018 18:02:42 UTC (8 KB)
[v2] Mon, 25 Feb 2019 10:28:46 UTC (8 KB)
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