Composition operators from large weighted Hardy spaces into the Dirichlet space |
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Authors: | Marian E Robbins |
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Institution: | (1) Department of Mathematics, Bellarmine University, 40205 Louisville, Kentucky |
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Abstract: | Given a large weighted Hardy space we show there exists a composition operatorC
with that maps from that space into the unweighted Dirichlet space and lies in every Schatten p-class for 0<p<. This is in contrast to the situation in which the image space is a smaller weighted Dirichlet space. It is known that in that case it is not possible to find such a composition operator that is bounded.This research was supported in part by a summer stipend from Bellarmine College. |
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Keywords: | 47B33 |
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