The Bloch Space of M-Harmonic Functions on Bounded Symmetric Domains.
E.H. Youssfi, K.T. Hahn (1997)
Monatshefte für Mathematik
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E.H. Youssfi, K.T. Hahn (1997)
Monatshefte für Mathematik
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Guangbin Ren (2002)
Collectanea Mathematica
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Cima, Joseph A. (1967)
Portugaliae 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.
Daniel H. Luecking (1983)
Monatshefte für Mathematik
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William T. Sledd (1988)
Monatshefte für Mathematik
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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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Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Oscar Blasco, Salvador Pérez-Esteva (2000)
Collectanea Mathematica
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Ewa Ligocka (1987)
Studia Mathematica
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Marston Morse (1963)
Monatshefte für Mathematik
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Miroljub Jevtić, Miroslav Pavlović (1993)
Publications de l'Institut Mathématique
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