A regularity lemma for functions of several variables (Q913325)
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scientific article; zbMATH DE number 4147122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularity lemma for functions of several variables |
scientific article; zbMATH DE number 4147122 |
Statements
A regularity lemma for functions of several variables (English)
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1988
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The following theorem is proved: Let \(F_ s\) and \(F_ u\) be two continuous transverse foliations with uniformly smooth leaves. If f is uniformly smooth along the leaves of \(F_ s\) and \(F_ u\), then f is smooth. The theorem is a generalization of similar assertions on stable and unstable foliations of an Asonov diffeomorphism to the case of non- absolutely continuous foliations. Some special cases are mentioned, too.
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differentiability
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smooth functions of several variables
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foliations
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