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

Sandıkçı A.

UNIVERSITY POLITEHNICA OF BUCHAREST 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: UNIVERSITY POLITEHNICA OF BUCHAREST 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: t-Wigner transform, Hardy space, BMO space
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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