Continuity properties for Born-Jordan operators with symbols in H\"ormander classes and modulation spaces
Functional Analysis
2019-12-30 v2
Abstract
We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when H\"ormander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity and Schatten-von Neumann properties to the Born-Jordan calculus.
Cite
@article{arxiv.1702.05714,
title = {Continuity properties for Born-Jordan operators with symbols in H\"ormander classes and modulation spaces},
author = {Maurice de Gosson and Joachim Toft},
journal= {arXiv preprint arXiv:1702.05714},
year = {2019}
}
Comments
29 pages. The present version is larger than the previous ones. Especially our continuity properties for Born-Jordan operators with symbols in modulation spaces now permit Lebesgue exponents to be in the full interval (0,\infty ]