English

On generalized Besov and Triebel-Lizorkin spaces of regular distributions

Functional Analysis 2012-10-03 v1

Abstract

We establish conditions on the parameters which are both necessary and sufficient in order that Besov and Triebel-Lizorkin spaces of generalized smoothness contain only regular distributions. We also connect this with the possibility of embedding such spaces in some particular Lebesgue spaces.

Keywords

Cite

@article{arxiv.1210.0795,
  title  = {On generalized Besov and Triebel-Lizorkin spaces of regular distributions},
  author = {António Caetano and Hans-Gerd Leopold},
  journal= {arXiv preprint arXiv:1210.0795},
  year   = {2012}
}

Comments

28 pages