Dirichlet-type spaces on the unit ball and joint 2-isometries (Q2197807)
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scientific article; zbMATH DE number 7242607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet-type spaces on the unit ball and joint 2-isometries |
scientific article; zbMATH DE number 7242607 |
Statements
Dirichlet-type spaces on the unit ball and joint 2-isometries (English)
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1 September 2020
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We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This can be seen as the ball-analogue of a formula originally invented by \textit{S. Richter} [Trans. Am. Math. Soc. 328, No. 1, 325--349 (1991; Zbl 0762.47009)]. We capitalize on this formula to study Dirichlet-type spaces on the unit ball and joint \(2\)-isometries.
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Carleson measure
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Dirichlet-type spaces
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complex moment problem
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joint \(m\)-isometry
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