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Integral Equations and Operator Theory

, Volume 44, Issue 4, pp 466–479 | Cite as

Some differential and integral equations with applications to Toeplitz operators

  • Young Joo Lee
  • Kehe Zhu
Article

Abstract

We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.

1991 Mathematics Subject Classification

Primary 32A10 45F05 Secondary 47B35 

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References

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Copyright information

© Birkhäuser Verlag 2002

Authors and Affiliations

  • Young Joo Lee
    • 1
  • Kehe Zhu
    • 2
  1. 1.Department of MathematicsMokpo National UniversityKorea
  2. 2.Department of MathematicsState University of New YorkAlbanyUSA

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