On M-harmonic space B
M. Jevtić (1995)
Publications de l'Institut Mathématique
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M. Jevtić (1995)
Publications de l'Institut Mathématique
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Guangbin Ren (2002)
Collectanea Mathematica
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Jevtić, Miroljub (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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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...
Ewa Ligocka (1992)
Studia Mathematica
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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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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.
E.H. Youssfi, Kyong T. Hahn (1991)
Manuscripta mathematica
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Miroslav Pavlović (1994)
Publications de l'Institut Mathématique
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Joaquim Bruna (1992)
Publicacions Matemàtiques
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We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of C and give an application to a Runge type approximation theorem for such functions.
Miroslav Pavlović (1994)
Publications de l'Institut Mathématique
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Ewa Ligocka (1987)
Studia Mathematica
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Jie Miao (1998)
Monatshefte für Mathematik
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