Local holomorphic extendability and non-extendability of -functions on smooth boundaries
John Erik Fornæss, Claudio Rea (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Julia Points and Strong Analytic Normality”
Local holomorphic extendability and non-extendability of -functions on smooth boundaries
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The main aim of this paper is to prove that a nuclear Fréchet space E has the property (H) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
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Intermediate holomorphy
M. Nikić (1988)
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Extending holomorphic maps in infinite dimensions
Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.