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Pluriharmonic symbols of commuting Toeplitz type operators on the weighted Bergman spaces

  Published:1998-06-01
 Printed: Jun 1998
  • Young Joo Lee
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Abstract

A class of Toeplitz type operators acting on the weighted Bergman spaces of the unit ball in the $n$-dimensional complex space is considered and two pluriharmonic symbols of commuting Toeplitz type operators are completely characterized.
Keywords: Pluriharmonic functions, Weighted Bergman spaces, Toeplitz type operators. Pluriharmonic functions, Weighted Bergman spaces, Toeplitz type operators.
MSC Classifications: 47B38, 32A37 show english descriptions Operators on function spaces (general)
Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx]
47B38 - Operators on function spaces (general)
32A37 - Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) [See also 46Exx]
 

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