Asymptotic properties of the vector Carleson embedding theorem (Q2758990)
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scientific article; zbMATH DE number 1680650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic properties of the vector Carleson embedding theorem |
scientific article; zbMATH DE number 1680650 |
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Asymptotic properties of the vector Carleson embedding theorem (English)
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10 December 2001
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Carleson embedding theorem
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vector-valued functions
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operator-valued measures
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weights
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It is shown that the dyadic Carleson embedding operator acting on \({\mathbb C}^n\)-valued functions has norm at least \(C\log n\). For the same estimate, see also the paper [\textit{F. Nazarov, G. Pisier, S. Treil}, and \textit{A. Volberg}, ``Sharp estimates in vector Carleson embedding theorem and for vector paraproducts'', J. Reine Angew. Math. 542, 147-171 (2002; Zbl 0983.42006)].
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