Lineability in multifractal analysis
Lineability in multifractal analysis
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.
- University of Liège Belgium
Hölder regularity, Mathématiques, Physical, chemical, mathematical & earth Sciences, Multifractal analysis, Algebrability, Physique, chimie, mathématiques & sciences de la terre, Lineability, Wavelets, Besov and Sobolev spaces, Mathematics
Hölder regularity, Mathématiques, Physical, chemical, mathematical & earth Sciences, Multifractal analysis, Algebrability, Physique, chimie, mathématiques & sciences de la terre, Lineability, Wavelets, Besov and Sobolev spaces, Mathematics
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