Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces
Functional Analysis
2021-06-16 v4
Abstract
We prove the boundedness of a general class of multipliers and Fourier multipliers, in particular of the Hilbert transform, on quasi-Banach modulation spaces. We also deduce boundedness for multiplications and convolutions for elements in such spaces.
Keywords
Cite
@article{arxiv.2011.06941,
title = {Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces},
author = {Joachim Toft},
journal= {arXiv preprint arXiv:2011.06941},
year = {2021}
}
Comments
37 pages. In this forth version, some small mistakes have been corrected. Furthermore, some more references and links to references have been added