Complex interpolation of weighted Besov and Lizorkin-Triebel spaces

被引：0
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作者：
Winfried Sickel
Leszek Skrzypczak
Jan Vybíral
机构：
[1] Friedrich-Schiller-Universität Jena,Mathematisches Institut
[2] Adam Mickiewicz University Poznań,Faculty of Mathematics and Computer Science
[3] Technical University Berlin,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Muckenhoupt weights; local Muckenhoupt weights; weighted Besov and Lizorkin-Triebel spaces; radial subspaces of Besov and Lizorkin-Triebel spaces; complex interpolation; Calderón products; 46E35; 26B35;
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摘要：
We study complex interpolation of weighted Besov and Lizorkin-Triebel spaces. The used weights w0, w1 are local Muckenhoupt weights in the sense of Rychkov. As a first step we calculate the Calderón 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 ℝd.
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页码：1297 / 1323
页数：26
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