Triebel-Lizorkin sequence spaces are genuine mixed-norm spaces

被引：3

作者：

Brigham, Dan ^{[1
]}

Mitrea, Dorina ^{[1
]}

Mitrea, Irina ^{[2
]}

Mitrea, Marius ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 5-6期

关键词：

Triebel-Lizorkin sequence space; quasi-metric space; weighted mixed-norm space; tent space; interpolation; duality; retract; factorization; area function; Carleson operator; msc (2010); Primary: 42B35; 42B35; 46E39; 46B70; Secondary: 46E30; 46M35; INTERPOLATION; BESOV;

D O I：

10.1002/mana.201100184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Triebel-Lizorkin sequence spaces are, in an appropriate context, genuine mixed-norm spaces, then use this identification together with the general machinery developed in conjunction with the latter scale of spaces to establish interpolation, duality, factorization, and other functional analytic properties of the Triebel-Lizorkin spaces.

引用

页码：503 / 517

页数：15

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