Carleson measures theorems for generalized Bergman spaces on the unit polydisk (Q2731121)
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scientific article; zbMATH DE number 1625567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carleson measures theorems for generalized Bergman spaces on the unit polydisk |
scientific article; zbMATH DE number 1625567 |
Statements
Carleson measures theorems for generalized Bergman spaces on the unit polydisk (English)
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13 May 2003
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Carleson measures
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Bergman spaces
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The generalized Bergman spaces mentioned in the title consist either of analytic or of \(n\)-harmonic functions that are \(p\)th power integrable in the polydisk against a weight of a certain specific form. Some conditions in terms of Carleson boxes are given sufficient for a measure to be Carleson for such a space. Under certain restrictions, some necessary conditions are also presented.
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