Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
Abstract We deduce continuity, compactness and invariance properties for quasi-Banach Orlicz modulation spaces on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>ℝ</m:mi> <m:mi>d</m:mi> </m:msup> </m:math> {\mathbb{R}^{d}} . We characterize such spaces in terms of Gabor expansions and by their images under the Bargmann transform.