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Integral Equations and Operator Theory

, Volume 14, Issue 1, pp 1–12 | Cite as

Commuting Toeplitz operators with harmonic symbols

  • Sheldon Axler
  • Željko Čučković
Article

Abstract

This paper shows that on the Bergman space, two Toeplitz operators with harmonic symbols commute only in the obvious cases. The main tool is a characterization of harmonic functions by a conformally invariant mean value property.

Keywords

Harmonic Function Main Tool Toeplitz Operator Bergman Space Obvious Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • Sheldon Axler
    • 1
  • Željko Čučković
    • 1
    • 2
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA
  2. 2.Faculty of TechnologyUniversity of ZagrebZagrebYugoslavia

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