Continuity and Bargmann mapping properties of quasi-Banach Orlicz modulation spaces
Functional Analysis
2020-01-13 v2
Abstract
We deduce continuity, compactness and invariance properties for quasi-Banach Orlicz modulation spaces. We characterize such spaces in terms of Gabor expansions and by their images under the Bargmann transform.
Keywords
Cite
@article{arxiv.1907.02331,
title = {Continuity and Bargmann mapping properties of quasi-Banach Orlicz modulation spaces},
author = {Joachim Toft and Rüya Üster and Elmira Nabizadeh and Serap Öztop},
journal= {arXiv preprint arXiv:1907.02331},
year = {2020}
}
Comments
33 pages. In the second version of the paper we have added more references, corrected some misprints and clarified the content