### Erratum to "M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn".

E.H. Youssfi, Kyong T. Hahn (1991)

Manuscripta mathematica

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E.H. Youssfi, Kyong T. Hahn (1991)

Manuscripta mathematica

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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...

Guangbin Ren (2002)

Collectanea Mathematica

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Cima, Joseph A. (1967)

Portugaliae mathematica

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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.

Miroljub Jevtić, Miroslav Pavlović (1993)

Publications de l'Institut Mathématique

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Gu, Dinggui (2009)

Abstract and Applied Analysis

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Jevtić, M. (1995)

Publications de l'Institut Mathématique. Nouvelle Série

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Ewa Ligocka (1992)

Studia Mathematica

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Svantje Janson (1992)

Mathematica Scandinavica

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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.

M. Jevtić (1995)

Publications de l'Institut Mathématique

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Oscar Blasco, Salvador Pérez-Esteva (2000)

Collectanea Mathematica

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Keiko Fujita (2007)

Annales Polonici Mathematici

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We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.

Ewa Ligocka (1987)

Studia Mathematica

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