Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664289 | Acta Mathematica Scientia | 2012 | 9 Pages |
Abstract
It is shown that an arbitrary function from D ⊂ Rn to Rn will become C0, α-continuous in almost every x ∈ D after restriction to a certain subset with limit point x. For n ≥ m differentiability can be obtained. Examples show the Hölder exponent is optimal.
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Mathematics
Mathematics (General)