On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Andrei Iordan (1984/85)
Mathematische Zeitschrift
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Frank Jr. Beatrous (1986)
Mathematische Zeitschrift
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J.A. Cima, S.G. Krantz, T. Suffridge (1984)
Mathematische Zeitschrift
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Klas Diederich, John Erik Fornaess (1982)
Manuscripta mathematica
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Nguyen Quang Dieu, Tang Van Long (2007)
Annales Polonici Mathematici
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Let D be a domain in ℂⁿ. We introduce a class of pluripolar sets in D which is essentially contained in the class of complete pluripolar sets. An application of this new class to the problem of approximation of holomorphic functions is also given.
Erik Low (1985)
Mathematische Zeitschrift
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Darko, Patrick (2002)
International Journal of Mathematics and Mathematical Sciences
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Piotr Jakóbczak (1984/85)
Mathematische Zeitschrift
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Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
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We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
John Erik Fornaess, Eric Bedford (1978)
Inventiones mathematicae
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