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MSC: 46E35
Sobolev spaces; Besov space; Lizorkin-Triebel spaces; atomic decomposition; homogeneous spaces; inhomogeneous spaces; embeddings; compact embeddings; traces
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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