Displaying similar documents to “On the extension in the Hardy classes and the Nevanlinna class”

On D*-extension property of the Hartogs domains.

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...

Cluster sets of analytic multivalued functions

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.

The error term in Nevanlinna's second fundamental theorem for holomorphic mappings on coverings.

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...