Complex interpolation of weighted Besov and Lizorkin-Triebel spaces

Authors
Sickel, Winfried Skrzypczak, Leszek Vybíral, Jan
Citation
Sickel, Winfried et al., Complex interpolation of weighted Besov and Lizorkin-Triebel spaces, Acta mathematica Sinica. English series (Print) , 30(8), 2014, pp. 1297-1323
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
8
Year of publication
2014
Pages
1297 - 1323
Database
ACNP
SICI code
Abstract
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 .d.