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arXiv · 1201.5007

On the Interplay of Regularity and Decay in Case of Radial Functions I. Inhomogeneous spaces

Winfried Sickel·Leszek Skrzypczak·Jan Vybiral
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Abstract

We deal with decay and boundedness properties of radial functions belonging to Besov and Lizorkin-Triebel spaces. In detail we investigate the surprising interplay of regularity and decay. Our tools are atomic decompositions in combination with trace theorems.

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Winfried Sickel, Leszek Skrzypczak, Jan Vybiral. 2012-01-24. On the Interplay of Regularity and Decay in Case of Radial Functions I. Inhomogeneous spaces. https://doi.org/10.1142/s0219199712500058

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