Ondelettes et poids de Muckenhoupt
Studia Mathematica, Tome 108 (1994) no. 2, pp. 127-147
Cet article a éte moissonné depuis 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.
@article{10_4064_sm_108_2_127_147,
author = {Pierre Gilles Lemari\'e-Rieusset},
title = {Ondelettes et poids de {Muckenhoupt}},
journal = {Studia Mathematica},
pages = {127--147},
year = {1994},
volume = {108},
number = {2},
doi = {10.4064/sm-108-2-127-147},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-108-2-127-147/}
}
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
Cité par Sources :