A WEAK MOLECULE CONDITION FOR CERTAIN TRIEBEL-LIZORKIN SPACES

被引:2
|
作者
HOFMANN, S
机构
关键词
D O I
10.4064/sm-101-2-113-122
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A weak molecule condition is given for the Triebel-Lizorkin spaces F(p)alpha,q, with 0 < alpha < 1 and 1 < p, q < infinity. 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 Calderon-Zygmund kernels K(x, y) which are not assumed to satisfy any regularity condition in the y variable.
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页码:113 / 122
页数:10
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