Positive Schatten(-Herz) class toeplitz operators on the half-space

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)73-100
Number of pages28
JournalPotential Analysis
Issue number1
Publication statusPublished - 2007 Aug

Bibliographical note

Funding 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

  • Analysis


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