CHARACTERIZATION OF THE BOUNDEDNESS OF τ-WIGNER TRANSFORM ON HARDY AND BMO SPACES

Sandıkçı A.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.85, no.1, pp.43-52, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 85 Issue: 1
  • Publication Date: 2023
  • Journal Name: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.43-52
  • Keywords: BMO space, Hardy space, τ-Wigner transform
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

One of the most popular families of time-frequency representations is the τ-Wigner transform. This paper is concerned with the boundedness of the τ-Wigner transform. Boundedness results for the τ-Wigner transform are obtained in both Hardy and BMO spaces. The Hardy and BMO-distance between two τ-Wigner transforms associated with different windows and different argument functions are then studied.