Integral means of analytic functions.
Girela, Daniel, Peláez, José Ángel (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Girela, Daniel, Peláez, José Ángel (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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G. Blower (1990)
Studia Mathematica
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Lemma, Mulatu (2004)
International Journal of Mathematics and Mathematical Sciences
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Yang, Changsen, Yuan, Jiangtao (2006)
Journal of Inequalities and Applications [electronic only]
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Nassif Ghoussoub, Bernard Maurey (1989)
Annales de l'institut Fourier
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We describe the geometrical structure on a complex quasi-Banach space that is necessay and sufficient for the existence of boundary limits for bounded, -valued analytic functions on the open unit disc of the complex plane. It is shown that in such spaces, closed bounded subsets have many and that bounded upper semi-continuous functions on these sets have arbitrarily small plurisubharmonic perturbations that attain their maximum. This yields a certain representation of the unit ball...
S. Harbottle (1992)
Studia Mathematica
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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.
Girela, Daniel, Peláez, José Ángel (2006)
Journal of Inequalities and Applications [electronic only]
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Furuta, Takayuki, Yanagida, Masahiro (2000)
Journal of Inequalities and Applications [electronic only]
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Aulaskari, R., Danikas, N., Zhao, R. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Urban Cegrell (1993)
Bulletin de la Société Mathématique de France
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