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Lineability in multifractal analysis
Esser, Céline; Jaffard, Stéphane
2017
 

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Keywords :
Multifractal analysis; Hölder regularity; Besov and Sobolev spaces; Lineability; Algebrability; Wavelets
Abstract :
[en] The multifractal behavior of generic functions belonging to H older, Sobolev or Besov spaces has been investigated by many authors, using the concepts of Baire residuality and of prevalence. This paper aims at obtaining the corresponding results in the framework supplied by the notion of lineability. Furthermore, we also study the question of algebrability, proving negative and positive results.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline  ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Jaffard, Stéphane ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Lineability in multifractal analysis
Publication date :
2017
Available on ORBi :
since 21 March 2018

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