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Positive Toeplitz operators between the pluriharmonic Bergman spaces

Eun Sun Choi — 2008

Czechoslovak Mathematical Journal

We study Toeplitz operators between the 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 $b^{q}$ for $1 < p, q < \infty$ in terms of certain Carleson and vanishing Carleson measures.

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