Positive Toeplitz operators between the pluriharmonic Bergman spaces
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 93-111
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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.
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.
Classification :
31B05, 31C10, 46E15, 47B35
Keywords: Toeplitz operators; pluriharmonic Bergman spaces; Carleson measure
Keywords: Toeplitz operators; pluriharmonic Bergman spaces; Carleson measure
@article{CMJ_2008_58_1_a6,
author = {Choi, Eun Sun},
title = {Positive {Toeplitz} operators between the pluriharmonic {Bergman} spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {93--111},
year = {2008},
volume = {58},
number = {1},
mrnumber = {2402528},
zbl = {1174.47021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a6/}
}
Choi, Eun Sun. Positive Toeplitz operators between the pluriharmonic Bergman spaces. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 93-111. http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a6/