Displaying similar documents to “M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn.”

Hankel type operators on the unit disk

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...

Positive Schatten class Toeplitz operators on the ball

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.

On M-Bloch Functions

Miroljub Jevtić, Miroslav Pavlović (1993)

Publications de l'Institut Mathématique

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Algebraic properties of Toeplitz operators on weighted Bergman spaces

Amila Appuhamy (2021)

Czechoslovak Mathematical Journal

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We study algebraic properties of two Toeplitz operators on the weighted Bergman space on the unit disk with harmonic symbols. In particular the product property and commutative property are discussed. Further we apply our results to solve a compactness problem of the product of two Hankel operators on the weighted Bergman space on the unit bidisk.

The Berezin transform on the Toeplitz algebra

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.

Reproducing kernels for holomorphic functions on some balls related to the Lie ball

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.