Boundary Behavior of Berezin Symbols and Related Results

Creative Commons License

Garayev M. T., GÜRDAL M., YAMANCI U., Halouani B.

FILOMAT, cilt.33, sa.14, ss.4433-4439, 2019 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 14
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1914433g
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4433-4439
  • Anahtar Kelimeler: Blaschke sequence, Berezin symbol, Compact operator, Truncated Toeplitz operator, Trace, NUMBER INEQUALITIES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

For a given function phi is an element of H-infinity with vertical bar phi(z)vertical bar < 1 (z is an element of D), we associate some special operators subspace and study some properties of these operators including behavior of their Berezin symbols. It turns that such boundary behavior is closely related to the Blaschke condition of sequences in the unit disk D of the complex plane. In terms of Berezin symbols the trace of some nuclear truncated Toeplitz operator is also calculated.