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}
}
  • O. Dom'inguez, S. Tikhonov
  • 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

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