Geodesic
Ondelettes et poids de Muckenhoupt
Studia Mathematica, Tome 108 (1994) no. 2, pp. 127-147

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study, for a basis of Hölderian compactly supported wavelets, the boundedness and convergence of the associated projectors $P_j$ on the space $L^p(dμ)$ 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.
DOI : 10.4064/sm-108-2-127-147
Keywords: singular integrals, wavelets, weighted Lebesgue spaces

Pierre Gilles Lemarié-Rieusset 1

1 
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Pierre Gilles Lemarié-Rieusset. Ondelettes et poids de Muckenhoupt. Studia Mathematica, Tome 108 (1994) no. 2, pp. 127-147. doi: 10.4064/sm-108-2-127-147

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