Complex interpolation of weighted Besov and Lizorkin-Triebel spaces

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• 作者：Winfried Sickel (1)
  Leszek Skrzypczak (2)
  Jan Vybíral (3)
  
• 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
• 刊名：Acta Mathematica Sinica
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：30
• 期：8
• 页码：1297-1323
• 全文大小：377 KB
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• 作者单位：Winfried Sickel (1)
  Leszek Skrzypczak (2)
  Jan Vybíral (3)
  
  1. Mathematisches Institut, Friedrich-Schiller-Universit?t Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany
  2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University Poznań, Ul. Umultowska 87, 61-614, Poznań, Poland
  3. Department of Mathematics, Technical University Berlin, Secretary office MA 4-1 Street of 17. June 136, 10623, Berlin, Germany
  
• ISSN：1439-7617

文摘

We study complex interpolation of weighted Besov and Lizorkin-Triebel spaces. The used weights w 0, w 1 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 ?sup class="a-plus-plus"> d .