English

Mapping properties of Fourier transforms

Functional Analysis 2021-12-10 v1

Abstract

The paper deals with continuous and compact mappings generated by the Fourier transform between distinguished function spaces on Rn\mathbb{R}^n. The degree of compactness will be measured in terms of related entropy numbers. We are more interested in the interplay of already available ingredients than in generality.

Keywords

Cite

@article{arxiv.2112.04896,
  title  = {Mapping properties of Fourier transforms},
  author = {Hans Triebel},
  journal= {arXiv preprint arXiv:2112.04896},
  year   = {2021}
}
R2 v1 2026-06-24T08:10:41.289Z