On the \({\mathcal L}\)-characteristic of the superposition operator in Lebesgue spaces with mixed norm (Q1363050)
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scientific article; zbMATH DE number 1045995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \({\mathcal L}\)-characteristic of the superposition operator in Lebesgue spaces with mixed norm |
scientific article; zbMATH DE number 1045995 |
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On the \({\mathcal L}\)-characteristic of the superposition operator in Lebesgue spaces with mixed norm (English)
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30 September 1997
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The authors study the Nemytskij operator \(Fx(t,s)= f(t,s,x(t,s))\) in Lebesgue spaces of functions of two variables in spaces with mixed norm. In particular, they introduce and discuss the \({\mathcal L}\)-characteristic of this operator which was previously studied in the case of classical Lebesgue spaces in the book ``Integral operators in spaces of summable functions'' by \textit{M. A. Krasnosel'skij} et al. [Leyden: Noordhoff (1976; Zbl 0145.39703)].
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spaces with mixed norm
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\({\mathcal L}\)-characteristic
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0.8905879
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0.88739395
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0.8846209
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0.8800659
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0.8761966
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