Pointwise smoothness of space-filling functions

Jaffard, S.; Nicolay, Samuel

doi:10.1016/j.acha.2008.04.002

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Pointwise smoothness of space-filling functions

Jaffard, S.; Nicolay, Samuel

2009 • In Applied and Computational Harmonic Analysis, 26 (2), p. 181-199

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https://hdl.handle.net/2268/1797

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10.1016/j.acha.2008.04.002

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Keywords :

Holder regularity; Space-filling functions; Multifractal formalisms

Abstract :

[en] We study irregularity properties of generic Peano functions: we apply these results to the determination of the pointwise smoothness of a Peano function introduced by Lebesgue and of some related functions, showing that they are either monoholder or multifractal functions. We test on these examples several numerical variants of the multifractal formalism, and we show how a change of topology on R can affect the Holder regularity of such functions. (C) 2008 Elsevier Inc. All rights reserved.

Disciplines :

Mathematics
Physics

Author, co-author :

Jaffard, S.

Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes

Language :

English

Title :

Pointwise smoothness of space-filling functions

Publication date :

2009

Journal title :

Applied and Computational Harmonic Analysis

ISSN :

1063-5203

eISSN :

1096-603X

Publisher :

Academic Press

Volume :

Issue :

Pages :

181-199

Peer reviewed :

Peer Reviewed verified by ORBi

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since 12 January 2010

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