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The local Hölder function of a continuous function

✍ Scribed by Stéphane Seuret; Jacques Lévy Véhel

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
158 KB
Volume
13
Category
Article
ISSN
1063-5203

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✦ Synopsis

This work focuses on the local Hölder exponent as a measure of the regularity of a function around a given point. We investigate in detail the structure and the main properties of the local Hölder function (i.e., the function that associates to each point its local Hölder exponent). We prove that it is possible to construct a continuous function with prescribed local and pointwise Hölder functions outside a set of Hausdorff dimension 0.

📜 SIMILAR VOLUMES

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