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Pluriharmonic symbols of commuting Toeplitz type operators on the weighted Bergman spaces. (English) Zbl 0920.47024

Summary: 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.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B38 Linear operators on function spaces (general)
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
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