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

Author:

Toft Joachim1ORCID,Üster Rüya2,Nabizadeh Morsalfard Elmira1,Öztop Serap2

Affiliation:

1. Department of Mathematics , Linnæus University , Växjö , Sweden

2. Department of Mathematics , Faculty of Science , İstanbul University , İstanbul , Turkey

Abstract

Abstract We deduce continuity, compactness and invariance properties for quasi-Banach Orlicz modulation spaces on d {\mathbb{R}^{d}} . We characterize such spaces in terms of Gabor expansions and by their images under the Bargmann transform.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dilation estimates for Wiener amalgam spaces of Orlicz type;Sampling Theory, Signal Processing, and Data Analysis;2024-04-09

2. Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces;Journal of Functional Analysis;2024-02

3. Linear and bilinear Fourier multipliers on Orlicz modulation spaces;Monatshefte für Mathematik;2024-01-30

4. Bilinear multipliers on weighted Orlicz spaces;Georgian Mathematical Journal;2023-11-20

5. Pseudo-differential operators on Orlicz modulation spaces;Journal of Pseudo-Differential Operators and Applications;2022-12-13

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