Boo Rim Choe, Hyungwoon Koo, Young Joo Lee (2008)
Studia Mathematica
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On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.
Young Joo Lee (2004)
Czechoslovak Mathematical Journal
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We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious case.
Jie Miao (2001)
Studia Mathematica
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We study Hankel operators and commutators that are associated with a symbol and a kernel function. If the kernel function satisfies an upper bound condition, we obtain a sufficient condition for commutators to be bounded or compact. If the kernel function satisfies a local bound condition, the sufficient condition turns out to be necessary. The analytic and harmonic Bergman kernels satisfy both conditions, therefore a recent result by Wu on Hankel operators on harmonic Bergman spaces...
E.H. Youssfi, Kyong T. Hahn (1991)
Manuscripta mathematica
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Lu, Yufeng, Yang, Jun (2008)
Abstract and Applied Analysis
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Guediri, Hocine (2010)
Abstract and Applied Analysis
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E.H. Youssfi, Kyong T. Hahn (1991)
Manuscripta mathematica
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Cima, Joseph A. (1967)
Portugaliae mathematica
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Guangbin Ren (2002)
Collectanea Mathematica
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Sheldon Axler, Dechao Zheng (1998)
Studia Mathematica
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This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the analytic Toeplitz operators on the Bergman space.
Miroljub Jevtić, Miroslav Pavlović (1993)
Publications de l'Institut Mathématique
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