Complex Interpolation of Weighted Besov and Lizorkin-Triebel Spaces

被引：18

作者：

Sickel, Winfried ^{[1
]}

Skrzypczak, Leszek ^{[2
]}

Vybiral, Jan ^{[3
]}

机构：

[1] Univ Jena, Math Inst, D-07743 Jena, Germany

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[3] Tech Univ Berlin, Dept Math, D-10623 Berlin, Germany

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 08期

关键词：

Muckenhoupt weights; local Muckenhoupt weights; weighted Besov and Lizorkin-Triebel spaces; radial subspaces of Besov and Lizorkin-Triebel spaces; complex interpolation; Calderon products; MUCKENHOUPT WEIGHTS; DECOMPOSITIONS; INEQUALITIES; COMPACTNESS; EMBEDDINGS; SUBSPACES; LIPSCHITZ;

D O I：

10.1007/s10114-014-2762-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study complex interpolation of weighted Besov and Lizorkin-Triebel spaces. The used weights omega(0), omega(1) are local Muckenhoupt weights in the sense of Rychkov. As a first step we calculate the Calderon products of associated sequence spaces. Finally, as a corollary of these investigations, we obtain results on complex interpolation of radial subspaces of Besov and Lizorkin-Triebel spaces on R-d.

引用

页码：1297 / 1323

页数：27

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