A weak molecule condition for certain Triebel-Lizorkin spaces
Studia Mathematica, Tome 101 (1991) no. 2, pp. 113-122
Cet article a éte moissonné depuis 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.
@article{10_4064_sm_101_2_113_122,
author = {Steve Hofmann},
title = {A weak molecule condition for certain {Triebel-Lizorkin} spaces},
journal = {Studia Mathematica},
pages = {113--122},
year = {1991},
volume = {101},
number = {2},
doi = {10.4064/sm-101-2-113-122},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-2-113-122/}
}
TY - JOUR AU - Steve Hofmann TI - A weak molecule condition for certain Triebel-Lizorkin spaces JO - Studia Mathematica PY - 1991 SP - 113 EP - 122 VL - 101 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-101-2-113-122/ DO - 10.4064/sm-101-2-113-122 LA - en ID - 10_4064_sm_101_2_113_122 ER -
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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