Pfeuffer, Christine and Toft, Joachim (2019) Compactness Properties for Modulation Spaces. COMPLEX ANALYSIS AND OPERATOR THEORY, 13 (8). pp. 3521-3548. ISSN 1661-8254, 1661-8262
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We prove that if omega(1) and omega(2) are moderate weights and B is a suitable (quasi-)Banach function space, then a necessary and sufficient condition for the embedding i : M(omega(1), B) -> M(omega(2), B) between two modulation spaces to be compact is that the quotient omega(2)/omega(1) vanishes at infinity. Moreoverwe show, that the boundedness of omega(2)/omega(1) is a necessary and sufficient condition for the previous embedding to be continuous.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PSEUDODIFFERENTIAL CALCULUS; CONTINUITY PROPERTIES; BANACH; REPRESENTATIONS; OPERATORS; Gelfand-Shilov spaces; Distributions; Bargmann transform; Quasi-Banach spaces |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Mar 2020 09:42 |
| Last Modified: | 06 Apr 2020 06:16 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25887 |
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