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Commuting Toeplitz operators with pluriharmonic symbols. (English) Zbl 0893.47015

Summary: By making use of \(\mathcal M\)-harmonic function theory, we characterize commuting Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the unit ball or on the Hardy space of the unit sphere in \(n\)-dimensional complex space.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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