Wavelet techniques for pointwise regularity
Stéphane Jaffard (2006)
Annales de la faculté des sciences de Toulouse Mathématiques
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Let be a Banach (or quasi-Banach) space which is shift and scaling invariant (typically a homogeneous Besov or Sobolev space). We introduce a general definition of pointwise regularity associated with , and denoted by . We show how properties of are transferred into properties of . Applications are given in multifractal analysis.