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Positive Toeplitz operators between the pluriharmonic Bergman spaces. (English) Zbl 1174.47021

Summary: We study Toeplitz operators between pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators, taking a pluriharmonic Bergman space \(b^p\) into another such space \(b^q\) for \(1 < p,q < \infty \) in terms of certain Carleson and vanishing Carleson measures.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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References:

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