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Note on Commuting Toeplitz operators on the Pluriharmonic Bergman Space

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Abstract

We obtain a characterization of commuting Toeplitz operators with holomorphic symbols acting on the pluriharmonic Bergman space of the polydisk. We also obtain a characterization of normal Toeplitz operators with pluriharmonic symbols. In addition, some results for special types of semi-commutators are included.

참고문헌 (10)

  1. "\it CommutingToeplitz operators with harmonic symbols}", pp.1~ (1991)
  2. "it CommutingToeplitz operators on the polydisk", pp.1727~ (2004)
  3. "it Commuting Toeplitzoperators on the harmonic Bergman space", pp.163~ (1999)
  4. "it Commuting Toeplitzoperators on the Bergman space of an annulus", pp.355~ (1996)
  5. "\itFunction theory of several complex variables}" (1982), John Wiley andSons
  6. "it Some differential andintegral equations with applications to Toeplitz operators", pp.466~ (2002)
  7. "\it Function theory in the unit ball of$\mathbb" (1980), Springer-Verlag
  8. "it Toeplitz operators on thepolydisk", pp.3351~ (1996)
  9. "it Commuting Toeplitz operators with pluriharmonic symbols", pp.1595~ (1998)
  10. "\it Operator theory in function spaces}" (1990)

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