Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces
Functional Analysis
2023-10-27 v2
Abstract
We deduce continuity properties for pseudo-differential operators with symbols in Orlicz modulation spaces when acting on other Orlicz modulation spaces. In particular we extend well-known results in the literature. We also show that the entropy functional is continuous on a suitable Orlicz modulation space between and when , though the functional is discontinuous on .
Cite
@article{arxiv.2304.09558,
title = {Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces},
author = {Anupam Gumber and Nimit Rana and Joachim Toft and Rüya Üster},
journal= {arXiv preprint arXiv:2304.09558},
year = {2023}
}
Comments
A proof of a statement in the first version is added. Because of this, the number of pages has increased by 6 to totally 34 pages. It has also changed the structure compared to the first version. Because of this, the title and abstract are changed