Positive Toeplitz operators between the harmonic Bergman spaces

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


On the setting of the upper half space we study positive Toeplitz operators between the harmonic Bergman spaces. We give characterizations of bounded and compact positive Toeplitz operators taking a harmonic Bergman space bp into another bq for 1 < p < ∞, 1 < q < ∞. The case p = 1 or q = 1 seems more intriguing and is left open for further investigation. Also, we give criteria for positive Toeplitz operators acting on b2 to be in the Schatten classes. Some applications are also included.

Original languageEnglish
Pages (from-to)307-335
Number of pages29
JournalPotential Analysis
Issue number4
Publication statusPublished - 2002

Bibliographical note

Funding Information:
★ Supported by the research grant of Kwangwoon University (2000), the Korea University Grant (2001), KOSEF 2000-1-10100-001-3, and KOSEF 98-0701-03-01-5.


  • Carleson measures
  • Half-space
  • Harmonic Bergman functions
  • Multipliers
  • Positive Toeplitz operators

ASJC Scopus subject areas

  • Analysis


Dive into the research topics of 'Positive Toeplitz operators between the harmonic Bergman spaces'. Together they form a unique fingerprint.

Cite this