English

Pre-dual of Fofana's spaces

Functional Analysis 2019-06-04 v2

Abstract

It is the purpose of this paper to give a characterization of the pre-dual of the spaces introduced by I.~Fofana on the basis of Wiener amalgam spaces. Those spaces have a specific dilation behaviour similar to the spaces Lα(Rd)L^\alpha(\mathbb R^d). The characterization of the pre-dual will be based on the idea of minimal invariant spaces (with respect to such a group of dilation operators).

Keywords

Cite

@article{arxiv.1903.10191,
  title  = {Pre-dual of Fofana's spaces},
  author = {Hans Georg Feichtinger and Justin Feuto},
  journal= {arXiv preprint arXiv:1903.10191},
  year   = {2019}
}

Comments

13 pages. We fixed some typos and added a conclusion paragraph. To appear in "Mathematics"