On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.
Bibliographical noteFunding Information:
This research was supported by KOSEF(R01-2003-000-10243-0).
- Harmonic Bergman space
- Schatten class
- Schatten-Herz class
- Toeplitz operator
ASJC Scopus subject areas