Hölder-type inequalities for norms of Wick products (Q936988)
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scientific article; zbMATH DE number 5314240
| Language | Label | Description | Also known as |
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| English | Hölder-type inequalities for norms of Wick products |
scientific article; zbMATH DE number 5314240 |
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Hölder-type inequalities for norms of Wick products (English)
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20 August 2008
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Summary: Various upper bounds for the \(L^{2}\)-norm of the Wick product of two measurable functions of a random variable \(X\), having finite moments of any order, together with a universal minimal condition, are proven. The inequalities involve the second quantization operator of a constant times the identity operator. Some conditions ensuring that the constants involved in the second quantization operators are optimal, and interesting examples satisfying these conditions are also included.
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