Article Dans Une Revue Applied and Computational Harmonic Analysis Année : 2002

The local Hölder function of a continuous function

Résumé

This work focuses on the local Hölder exponent as a measure 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.

Fichier principal
Vignette du fichier
The-local-holder-function-of-a-continuous-function.pdf (255.37 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

inria-00581029 , version 1 (30-03-2011)

Licence

Identifiants

  • HAL Id : inria-00581029 , version 1

Citer

Stephane Seuret, Jacques Lévy Véhel. The local Hölder function of a continuous function. Applied and Computational Harmonic Analysis, 2002, 13 (3), pp.263-276. ⟨inria-00581029⟩

Collections

236 Consultations
588 Téléchargements

Partager

  • More