Sharp estimates of multilinear operators in the polydisk and the unit ball (Q946091)
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scientific article; zbMATH DE number 5345597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp estimates of multilinear operators in the polydisk and the unit ball |
scientific article; zbMATH DE number 5345597 |
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Sharp estimates of multilinear operators in the polydisk and the unit ball (English)
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22 September 2008
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The paper is devoted to the study of properties of multifunctional analytic expressions in the polydisk and in the unit ball of \({\mathbb C}^n\). A characterization of the Carleson measure is given. Sharp estimates for multifunctional analytic expressions via strong factorization theorems in the unit ball are obtained. Inequalities for multilinear Poisson and Cauchy-Szegö transforms are derived.
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multifunctional analytic expression
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Carleson measure
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Djrbashain spaces
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strong factorization theorem
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Poisson and Cauchy-Szegö transforms
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