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Article

Sickel, Winfried
Radial subspaces of Besov-Lizorkin-Triebel spaces. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the International School held in Třešť, September 11-17, 2010. Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 169-215
MSC: 46E35
Keywords:
Sobolev spaces; Besov space; Lizorkin-Triebel spaces; atomic decomposition; homogeneous spaces; inhomogeneous spaces; embeddings; compact embeddings; traces
Summary:
This is a summary of results obtained in collaboration with Leszek Skrzypczak (Poznań) and Jan Vybíral (Linz). We investigate decay and boundedness properties of radial functions belonging to Besov and Lizorkin-Triebel spaces. Our main tools are atomic decompositions in combination with trace theorems.
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