\( \mathbb{Z} \)-operators related to a finite measure space (Q2184241)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \( \mathbb{Z} \)-operators related to a finite measure space |
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\( \mathbb{Z} \)-operators related to a finite measure space (English)
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28 May 2020
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The author considers a class of linear operators related to a finite measure space such that the corresponding \(L^2\)-Hilbert space is separable. For these operators, results about \(L^p\)-boundedness (\(1 \leq p < \infty\)), compactness, and the Hilbert-Schmidt property are obtained.
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measure space
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measurable function
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compact operator
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Hilbert-Schmidt operator
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pseudo-differential operator
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Young's inequality
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Parseval's identity
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Plancherel formula
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