Corpus ID: 119159181

# Function spaces of logarithmic smoothness: embeddings and characterizations.

```@article{Dominguez2018FunctionSO,
title={Function spaces of logarithmic smoothness: embeddings and characterizations.},
author={O. Dom'inguez and S. Tikhonov},
journal={arXiv: Functional Analysis},
year={2018}
}```
• Published 2018
• Mathematics
• arXiv: Functional Analysis
• In this paper we present a comprehensive treatment of function spaces with logarithmic smoothness (Besov, Sobolev, Triebel-Lizorkin). We establish the following results: Sharp embeddings between the Besov spaces defined by differences and by Fourier-analytical decompositions as well as between Besov and Sobolev/Triebel-Lizorkin spaces; Various new characterizations for Besov norms in terms of different K-functionals. For instance, we derive characterizations via ball averages, approximation… CONTINUE READING

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 157 REFERENCES