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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2013, том 4, номер 2, страницы 49–56 (Mi emj122)

On angular boundary limits of normal subharmonic functions

S. Berberyan

Russian-Armenia (Slavonic) University, Armenia, Yerevan 0051, Ovsep Emin  st., 123

Аннотация: The paper considers normal subharmonic functions defined in the unit circle. New necessary and sufficient conditions for the existence of angular limits at arbitrary points of the unit circumference are obtained. The obtained conditions are less strong than in the previous results of different authors. Examples confirming the significance of these conditions are given.

Ключевые слова и фразы: subharmonic and logarithmic subharmonic functions, normal functions, angular limits, cluster sets, non-Euclidean distance.

MSC: 31B05

Поступила в редакцию: 12.11.2010

Язык публикации: английский



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