Boundary Behavior of Berezin Symbols and Related Results


Creative Commons License

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

FILOMAT, cilt.33, ss.4433-4439, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 14
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1914433g
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.4433-4439

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.