Commutants of analytic Toeplitz operators on the harmonic Bergman space

Rim Choe Boo, Joo Lee Young

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

We study the commuting problem for Toeplitz operators on the harmonic Bergman space of the unit disk. We show that an analytic Toeplitz operator and a co-analytic Toeplitz operator with certain noncyclicity hypothesis can commute only when one of their symbols is constant. We also obtain analogous results for semi-commutants.

Original languageEnglish
Pages (from-to)559-564
Number of pages6
JournalIntegral Equations and Operator Theory
Volume50
Issue number4
DOIs
Publication statusPublished - 2004 Dec

Keywords

  • Commutant
  • Harmonic Bergman space
  • Toeplitz operator

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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