Homogeneity property of Besov and Triebel-Lizorkin spaces

Details Homogeneity property of Besov and Triebel-Lizorkin spaces Homogeneity property of Besov and Triebel-Lizorkin spaces

2011-12-14

arxiv.org/abs/1112.3156v1

Mathematics

Functional Analysis

Scientific paper

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.

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