Ondelettes et poids de Muckenhoupt
Volume 108 / 1994
Studia Mathematica 108 (1994), 127-147
DOI: 10.4064/sm-108-2-127-147
Abstract
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.