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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 401, Pages 189–197 (Mi znsl5233)

Continuous traces of $\delta$-subharmonic functions

K. A. Sukhov

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: We consider the set of $\delta$-subharmonic functions with compact support in the plane. It is proved that the set of their traces on a segment does not include all continuous functions.

Key words and phrases: $\delta$-subharmonic functions, the trace of a function on a segment, Riesz representation.

UDC: 517.574

Received: 28.06.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 194:6, 703–707

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© Steklov Math. Inst. of RAS, 2025