English

Besov-type spaces with variable smoothness and integrability II

Functional Analysis 2015-06-25 v2

Abstract

The aim of this paper is to study properties of Besov-type spaces with variable smoothness. We show that these spaces are characterized by the phi-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces.

Keywords

Cite

@article{arxiv.1503.04011,
  title  = {Besov-type spaces with variable smoothness and integrability II},
  author = {Douadi Drihem},
  journal= {arXiv preprint arXiv:1503.04011},
  year   = {2015}
}

Comments

We add the proof of Lemma 2 and we reformulate Lemma 4. Accepted in Annals of Functional Analysis under the title "Some characterizations of variable Besov-type spaces"

R2 v1 2026-06-22T08:52:06.856Z