Radial growth and variation of Dirichlet finite holomorphic functions in the disk
David J. Hallenbeck, Krzysztof Samotij (1990)
Colloquium Mathematicae
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David J. Hallenbeck, Krzysztof Samotij (1990)
Colloquium Mathematicae
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Edgar Lee Stout, Josip Globevnik (1987)
Mathematica Scandinavica
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E. M. Chirka (2003)
Annales Polonici Mathematici
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If Σ is a compact subset of a domain Ω ⊂ ℂ and the cluster values on ∂Σ of a holomorphic function f in Ω∖Σ, f' ≢ 0, are contained in a compact null-set for the holomorphic Dirichlet class, then f extends holomorphically onto the whole domain Ω.
Małgorzata Michalska (2011)
Annales UMCS, Mathematica
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In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].
J. Bonet, P. Domanski, J. Mujica (1994)
Mathematica Scandinavica
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Peng Gao, Rizwanur Khan, Guillaume Ricotta (2009)
Acta Arithmetica
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M. Nakai, L. Sario (1971)
Mathematica Scandinavica
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Bernt Oksendal (1987)
Mathematica Scandinavica
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Erik Low, John E. Fornaess (1986)
Mathematica Scandinavica
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M. Nikić (1988)
Matematički Vesnik
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Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
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.
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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Robert Magnus (1994)
Mathematica Scandinavica
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