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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Bibliographic Details
Main Author: Darko Žubrinić
Format: Article
Language:English
Published: Università degli Studi di Catania 2007-12-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/45