A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.
Studia Mathematica, Tome 119 (1996) no. 3, pp. 219-246
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
Besov-Lipschitz space, Triebel-Lizorkin space, Littlewood-Paley function, Calderón representation theorem, $A_∞$ weight
Affiliations des auteurs :
H. -Q. Bui 1 ;  1 ;  1
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author = {H. -Q. Bui and and },
title = {A maximal function characterization of weighted {Besov-Lipschitz} and {Triebel-Lizorkin} spaces.},
journal = {Studia Mathematica},
pages = {219--246},
publisher = {mathdoc},
volume = {119},
number = {3},
year = {1996},
doi = {10.4064/sm-119-3-219-246},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-119-3-219-246/}
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H. -Q. Bui; ; . A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.. Studia Mathematica, Tome 119 (1996) no. 3, pp. 219-246. doi: 10.4064/sm-119-3-219-246
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