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arXiv · 1212.1614

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

Winfried Sickel·Leszek Skrzypczak·Jan Vybiral
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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 $\R^d$.

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Winfried Sickel, Leszek Skrzypczak, Jan Vybiral. 2014-06-05. Complex Interpolation of Weighted Besov- and Lizorkin-Triebel Spaces (long version). https://arxiv.org/abs/1212.1614

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