Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator

被引：4
|
作者：
Goncalves, Helena F. [1 ]
Haroske, Dorothee D. [1 ]
Skrzypczak, Leszek [2 ]
机构：
[1] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 05期
关键词：
Besov-type space; Triebel-Lizorkin-type spaces; Smoothness Morrey spaces on domains; Limiting embeddings; Extension operator; SMOOTHNESS MORREY SPACES; COMPLEX INTERPOLATION; MAXIMAL FUNCTIONS; LOCAL MEANS; DISTRIBUTIONS; LIPSCHITZ;
D O I：
10.1007/s10231-023-01327-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, id(tau) : B-p1,q1(s1,tau 1)(Omega) (sic) B-p2,q2(s2,tau 2)(Omega) and id(tau) : F-p1,q1(s1,tau 1)(Omega) (sic) F-p2,q2(s2,tau 2)(Omega), where Omega subset of R-d is a bounded domain, obtaining necessary and sufficient conditions for the continuity of id(tau). This can also be seen as the continuation of our previous studies of compactness of the embeddings in the non-limiting case. Moreover, we also construct Rychkov's linear, bounded universal extension operator for these spaces.
引用
收藏
页码：2481 / 2516
页数：36
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