A weak molecule condition for certain Triebel-Lizorkin spaces
Studia Mathematica, Tome 101 (1991) no. 2, pp. 113-122

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

A weak molecule condition is given for the Triebel-Lizorkin spaces Ḟ_p^{α,q}, with 0 α 1 and 1 p, q ∞. As an easy corollary, one may deduce, by atomic-molecular methods, a Triebel-Lizorkin space "T1" Theorem of Han and Sawyer, and Han, Jawerth, Taibleson and Weiss, for Calderón-Zygmund kernels K(x,y) which are not assumed to satisfy any regularity condition in the y variable.
DOI : 10.4064/sm-101-2-113-122

Steve Hofmann 1

1
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Steve Hofmann. A weak molecule condition for certain Triebel-Lizorkin spaces. Studia Mathematica, Tome 101 (1991) no. 2, pp. 113-122. doi: 10.4064/sm-101-2-113-122

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