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Homogeneity property of Besov and Triebel-Lizorkin spaces

We consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function spaces we present also some results on the entropy numbers of these embeddings. Moreover, we derive some applications in terms of pointwise multipliers.

preprint2011arXivOpen access
Cornelia SchneiderJan Vybíral
math.FA
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Open access2 authors1 topic
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Cornelia SchneiderJan Vybíral

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