Commutants of analytic Toeplitz operators on the harmonic Bergman space

Rim Choe Boo, Joo Lee Young

Research output: Contribution to journalArticle

15 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 1

Keywords

  • Commutant
  • Harmonic Bergman space
  • Toeplitz operator

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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