Continuity and Bargmann mapping properties of quasi-Banach Orlicz modulation spaces

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.

33 pages. In the second version of the paper we have added more references, corrected some misprints and clarified the content