A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.
Volume 119 / 1996
Studia Mathematica 119 (1996), 219-246
DOI: 10.4064/sm-119-3-219-246
Abstract
We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with $A_∞$ weights via a smooth kernel which satisfies "minimal" moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces.
