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The reproducing kernel thesis for lower bounds of weighted composition operators (1812.08121v2)
Published 19 Dec 2018 in math.FA and math.CV
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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