A limit theorem for harmonic functions generated by the Bergman-Whittaker operator
Cima, Joseph A. (1967)
Portugaliae mathematica
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Displaying similar documents to “Harmonic Bergman spaces with small exponents in the unit ball.”
A limit theorem for harmonic functions generated by the Bergman-Whittaker operator
Lp continuity of projectors of weighted harmonic Bergman spaces.
Oscar Blasco, Salvador Pérez-Esteva (2000)
Collectanea Mathematica
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Corrigendum to the paper "On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in R^{n}" (Studia Mathematica 87 (1987), 23-32)
Ewa Ligocka (1992)
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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.
On -harmonic space .
Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in
Ewa Ligocka (1987)
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Reproducing Kernels for Harmonic Bergman Spaces of the Unit Ball.
Jie Miao (1998)
Monatshefte für Mathematik
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M. Jevtić (1995)
Publications de l'Institut Mathématique
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On M-Bloch Functions
Miroljub Jevtić, Miroslav Pavlović (1993)
Publications de l'Institut Mathématique
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On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
Ewa Ligocka (1987)
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A uniqueness theorem for invariantly harmonic functions in the unit ball of C.
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.
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...