Meromorphic extension of holomorphic functions with growth conditions
Leif Abrahamsson (1982)
Bulletin de la Société Mathématique de France
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Leif Abrahamsson (1982)
Bulletin de la Société Mathématique de France
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Tamrazov, Promarz M. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Stoll, Wilhelm (1983)
International Journal of Mathematics and Mathematical Sciences
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Do Duc Thai, Pascal J. Thomas (2001)
Publicacions Matemàtiques
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A complex analytic space is said to have the D*-extension property if and only if any holomorphic map from the punctured disk to the given space extends to a holomorphic map from the whole disk to the same space. A Hartogs domain H over the base X (a complex space) is a subset of X x C where all the fibers over X are disks centered at the origin, possibly of infinite radius. Denote by φ the function giving the logarithm of the reciprocal of the radius of the fibers, so that, when X is...
Yamashita, Shinji (1985)
International Journal of Mathematics and Mathematical Sciences
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M. Klimek (1985)
Bulletin de la Société Mathématique de France
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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.
Arturo Fernández Arias (2002)
RACSAM
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Se estudia el término de error en el segundo teorema fundamental para las aplicaciones holomorfas F : Y → P, donde en Y hay definida una aplicación recubridora holomorfa p : Y → C, aplicaciones consideradas por S. Lang and W. Cherry. También se obtiene el lema de la derivada logarítmica para esta clase de funciones que, en particular, contiene la clase de las funciones algebroides. Se demuestra que la estimación obtenida mejora un resultado clásico de Henrik Selberg sobre la derivada...
M. Essen, D. F. Shea, C. S. Stanton (1985)
Annales de l'institut Fourier
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We give a necessary and sufficient condition for an analytic function in to have real part in class . This condition contains the classical one of Zygmund; other variants are also given.