Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains (Q2816987)
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scientific article; zbMATH DE number 6619976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains |
scientific article; zbMATH DE number 6619976 |
Statements
Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains (English)
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26 August 2016
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Carleson measures
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Bergman spaces
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balayage
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Kobayashi metric
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BMO functions
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The purpose of this paper is to establish results on Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains. It is shown that the balayage of a Carleson measure in weighted Bergman spaces is a function of bounded mean oscillation in the Kobayashi metric. This extends well-known results on the unit disk to bounded strongly pseudoconvex domains for which the authors develop new techniques and estimates.
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