On the \(S_ 4\)-norm of a Hankel form (Q1199678)
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scientific article; zbMATH DE number 94645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(S_ 4\)-norm of a Hankel form |
scientific article; zbMATH DE number 94645 |
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On the \(S_ 4\)-norm of a Hankel form (English)
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16 January 1993
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The author gives a new proof of a theorem from [\textit{S. Janson}, \textit{J. Peetre} and \textit{R. Rochberg}, Rev. Mat. Iberoam. 3, No. 1, 61-138 (1987; Zbl 0704.47022)] which asserts that the \(S_ 4\)-norm of a Hankel form in Fock space is exactly equal to some \(L_ 4\)-norm of its symbol. This is not true for another value of \(p\) (except the trivial case \(p=2)\). Here the author also shows that this phenomenon is a property of Fock space and does not hold in other spaces.
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\(S_ 4\)-norm of a Hankel form
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Fock space
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