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

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Toft J., Uster R., Morsalfard E. N., Oztop S.

FORUM MATHEMATICUM, vol.34, no.5, pp.1205-1232, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1515/forum-2021-0279
  • Journal Name: FORUM MATHEMATICUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1205-1232
  • Keywords: Gabor analysis, Gelfand Shilov spaces, Pilipovic spaces, ultradistributions, Bargmann transform, INTEGRABLE GROUP-REPRESENTATIONS, GELFAND-SHILOV SPACES, PSEUDODIFFERENTIAL-OPERATORS
  • Open Archive Collection: AVESIS Open Access Collection
  • Istanbul University Affiliated: Yes

Abstract

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