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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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].
Lê Hai Khoi (1995)
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.
Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
M. Nikić (1988)
Matematički Vesnik
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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.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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Bruce Berndt (1975)
Acta Arithmetica
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Marek Jarnicki
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CONTENTS§1. Introduction.................................................................................................................5§2. Basic properties of δ-tempered holomorphic functions...............................................8§3. Holomorphic continuation and holomorphic retractions.............................................20§4. Continuation from regular neighbourhoods...............................................................32§5. Continuation from δ-regular submanifolds;...
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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Moroz, B.Z. (2005)
Journal of Mathematical Sciences (New York)
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M. Mateljević (1986)
Matematički Vesnik
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A. Sankaranarayanan (2003)
Acta Arithmetica
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P. Pflug (1985)
Matematički Vesnik
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