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

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

2012-01-24

arxiv.org/abs/1201.5007v1

Mathematics

Functional Analysis

Scientific paper

10.1142/S0219199712500058

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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