Wavelet techniques for pointwise regularity

Stéphane Jaffard[1]

  • [1] Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris XII, 61 Avenue du Général de Gaulle, 94010 Créteil Cedex (France).

Annales de la faculté des sciences de Toulouse Mathématiques (2006)

  • Volume: 15, Issue: 1, page 3-33
  • ISSN: 0240-2963

Abstract

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Let E 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 E , and denoted by C E α ( x 0 ) . We show how properties of E are transferred into properties of C E α ( x 0 ) . Applications are given in multifractal analysis.

How to cite

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Jaffard, Stéphane. "Wavelet techniques for pointwise regularity." Annales de la faculté des sciences de Toulouse Mathématiques 15.1 (2006): 3-33. <http://eudml.org/doc/10037>.

@article{Jaffard2006,
abstract = {Let $E$ 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 $E$, and denoted by $C^\alpha _E (x_0)$. We show how properties of $E$ are transferred into properties of $C^\alpha _E (x_0)$. Applications are given in multifractal analysis.},
affiliation = {Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris XII, 61 Avenue du Général de Gaulle, 94010 Créteil Cedex (France).},
author = {Jaffard, Stéphane},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Banach space; quasi-Banach space; pointwise regularity; wavelet; multifractal analysis},
language = {eng},
number = {1},
pages = {3-33},
publisher = {Université Paul Sabatier, Toulouse},
title = {Wavelet techniques for pointwise regularity},
url = {http://eudml.org/doc/10037},
volume = {15},
year = {2006},
}

TY - JOUR
AU - Jaffard, Stéphane
TI - Wavelet techniques for pointwise regularity
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2006
PB - Université Paul Sabatier, Toulouse
VL - 15
IS - 1
SP - 3
EP - 33
AB - Let $E$ 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 $E$, and denoted by $C^\alpha _E (x_0)$. We show how properties of $E$ are transferred into properties of $C^\alpha _E (x_0)$. Applications are given in multifractal analysis.
LA - eng
KW - Banach space; quasi-Banach space; pointwise regularity; wavelet; multifractal analysis
UR - http://eudml.org/doc/10037
ER -

References

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