Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces
Functional Analysis
2015-04-23 v1
Abstract
We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on -spaces, Sobolev spaces, and modulation spaces.
Keywords
Cite
@article{arxiv.1504.05720,
title = {Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces},
author = {Shahla Molahajloo and Götz E. Pfander},
journal= {arXiv preprint arXiv:1504.05720},
year = {2015}
}