On an imbedding problem for functions of several variables (Q1116030)
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scientific article; zbMATH DE number 4088230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an imbedding problem for functions of several variables |
scientific article; zbMATH DE number 4088230 |
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On an imbedding problem for functions of several variables (English)
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1988
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The best possible conditions are found which should be imposed on the orders of partial and mixed integral moduli of continuity of a function from \(L_ p(T^ N)\) \((1<p<\infty\), \(T\equiv [0,2\pi]\), \(N=2,3,...)\), in order that the imbedding \(f\in \exp (^{\sigma}\sqrt{L(T^ N)})\), \(2\leq \sigma <\infty\), is valid.
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moduli of continuity
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0.90912896
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0.89555174
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0.8942069
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