Ondelettes et poids de Muckenhoupt

Pierre Lemarié-Rieusset

Studia Mathematica (1994)

  • Volume: 108, Issue: 2, page 127-147
  • ISSN: 0039-3223

Abstract

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We study, for a basis of Hölderian compactly supported wavelets, the boundedness and convergence of the associated projectors P j on the space L p ( d μ ) for some p in ]1,∞[ and some nonnegative Borel measure μ on ℝ. We show that the convergence properties are related to the A p criterion of Muckenhoupt.

How to cite

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Lemarié-Rieusset, Pierre. "Ondelettes et poids de Muckenhoupt." Studia Mathematica 108.2 (1994): 127-147. <http://eudml.org/doc/216045>.

@article{Lemarié1994,
author = {Lemarié-Rieusset, Pierre},
journal = {Studia Mathematica},
keywords = {singular integrals; wavelets; weighted Lebesgue spaces; criterion of Muckenhoupt},
language = {fre},
number = {2},
pages = {127-147},
title = {Ondelettes et poids de Muckenhoupt},
url = {http://eudml.org/doc/216045},
volume = {108},
year = {1994},
}

TY - JOUR
AU - Lemarié-Rieusset, Pierre
TI - Ondelettes et poids de Muckenhoupt
JO - Studia Mathematica
PY - 1994
VL - 108
IS - 2
SP - 127
EP - 147
LA - fre
KW - singular integrals; wavelets; weighted Lebesgue spaces; criterion of Muckenhoupt
UR - http://eudml.org/doc/216045
ER -

References

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  1. [1] I. Daubechies, Orthonormal basis of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996. Zbl0644.42026
  2. [2] P. G. Lemarié, Fonctions à support compact dans les analyses multi-résolutions, Rev. Mat. Iberoamericana 7 (1991), 157-182. Zbl0753.42014
  3. [3] P. G. Lemarié et G. Malgouyres, Support des fonctions de base dans une analyse multi-résolution, C. R. Acad. Sci. Paris 313 (1991), 377-380. Zbl0759.42019
  4. [4] G. Malgouyres, Analyse multi-résolution sur l'intervalle: algorithmes rapides, preprint, Univ. Paris-XI, 1991. 
  5. [5] S. Mallat, Multiresolution approximation and wavelet bases of L²(ℝ), Trans. Amer. Math. Soc. 315 (1989), 69-87. 
  6. [6] Y. Meyer, Ondelettes et opérateurs, tome I, Hermann, Paris, 1990. Zbl0694.41037
  7. [7] Y. Meyer, Ondelettes et opérateurs, tome II, Hermann, Paris, 1991. 

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