Harmonic Bergman spaces with small exponents in the unit ball.
Guangbin Ren (2002)
Collectanea Mathematica
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Guangbin Ren (2002)
Collectanea Mathematica
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Cima, Joseph A. (1967)
Portugaliae mathematica
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Ewa Ligocka (1992)
Studia Mathematica
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Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Jie Miao (1998)
Monatshefte für Mathematik
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Ewa Ligocka (1987)
Studia Mathematica
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Ewa Ligocka (1987)
Studia Mathematica
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Ewa Ligocka (1987)
Studia 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...
Oscar Blasco, Salvador Pérez-Esteva (2000)
Collectanea Mathematica
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M. Jevtić (1995)
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.