Positive Toeplitz operators between the pluriharmonic Bergman spaces |
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| Authors: | Eun Sun Choi |
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| Institution: | (1) Department of Mathematics, Korea University, Seoul, 136-701, Korea |
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| Abstract: | 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 < ∞ in terms of certain Carleson and vanishing Carleson measures.
This research was supported by KOSEF (R01-2003-000-10243-0) and Korea University Grant. |
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| Keywords: | Toeplitz operators pluriharmonic Bergman spaces Carleson measure |
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