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

Sandıkçı A.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, cilt.85, sa.1, ss.43-52, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 85 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.43-52
  • Anahtar Kelimeler: BMO space, Hardy space, τ-Wigner transform
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.