Singular dimension of spaces of real functions
<p>Let X be a space of measurable real functions defined on a fixed open set Ω ⊆ R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.<br />We say that f ∈ X is a maximally singular function in X if the Ha...
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Format: | Article |
Language: | English |
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Università degli Studi di Catania
2007-12-01
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Series: | Le Matematiche |
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Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/45 |