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Zapiski Nauchnykh Seminarov 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
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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.
Received: 28.06.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 6, Pages 703–707
DOI: https://doi.org/10.1007/s10958-013-1559-3
Bibliographic databases:
Document Type: Article
UDC: 517.574
Language: Russian
Citation: K. A. Sukhov, “Continuous traces of $\delta$-subharmonic functions”, Investigations on linear operators and function theory. Part 40, Zap. Nauchn. Sem. POMI, 401, POMI, St. Petersburg, 2012, 189–197; J. Math. Sci. (N. Y.), 194:6 (2013), 703–707
Citation in format AMSBIB
\Bibitem{Suk12}
\by K.~A.~Sukhov
\paper Continuous traces of $\delta$-subharmonic functions
\inbook Investigations on linear operators and function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 401
\pages 189--197
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981974}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 6
\pages 703--707
\crossref{https://doi.org/10.1007/s10958-013-1559-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898968747}
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  • https://www.mathnet.ru/eng/znsl/v401/p189
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