A note on Hausdorff-Young inequalities in function spaces
Functional Analysis
2023-02-16 v2
Abstract
The classical Hausdorff-Young inequalities for the Fourier transform acting between appropriate spaces are cornerstones of Fourier analysis. Here we extend it to weighted spaces of Besov or Sobolev type where the weight has the form . This note is not a paper or draft but a sketchy complement to some earlier results where we dealt with mapping properties of the Fourier transform.
Cite
@article{arxiv.2301.10605,
title = {A note on Hausdorff-Young inequalities in function spaces},
author = {Hans Triebel},
journal= {arXiv preprint arXiv:2301.10605},
year = {2023}
}