Extrapolation of discrete Triebel-Lizorkin spaces

被引：2
|
作者：
Bownik, Marcin [1 ]
机构：
[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 5-6期
关键词：
Triebel-Lizorkin space; expansive dilation; doubling measure; wavelet transform; Calderon product; msc (2010) Primary: 42B25; 42B35; 42C40; Secondary: 46B70; 47B37; 47B38; MOLECULAR DECOMPOSITIONS; BESOV-LIPSCHITZ; HARDY-SPACES; TRANSFORM;
D O I：
10.1002/mana.201100186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show an extrapolation formula for discrete Triebel-Lizorkin spaces which extends a formula of Cwikel and Nilsson 14 to quasi-Banach lattices. This is done in the general setting of anisotropic Triebel-Lizorkin spaces associated with expansive dilations and doubling measures on R-n introduced by the author 4, 5. Our main result is new even in the standard dyadic setting.
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页码：492 / 502
页数：11
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