Complex Interpolation of Weighted Besov- and Lizorkin-Triebel Spaces (long version)

2012/12/07 by Winfried Sickel, Sickel, Winfried, Leszek Skrzypczak +3
Mathematics · #26B35 #46E35 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:26B35 #msc:46E35

paper · pdf · doi:10.48550/arxiv.1212.1614

arxiv created 2014/06/05 · arxiv updated 2014/06/06

Abstract

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 \R^d.

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• Complex interpolation of function spaces with general weights
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