Geodesic
Continuous traces of $\delta$-subharmonic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 40, Tome 401 (2012), pp. 189-197 
K. A. Sukhov. Continuous traces of $\delta$-subharmonic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 40, Tome 401 (2012), pp. 189-197. http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a9/
@article{ZNSL_2012_401_a9,
     author = {K. A. Sukhov},
     title = {Continuous traces of $\delta$-subharmonic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {189--197},
     year = {2012},
     volume = {401},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a9/}
}
TY  - JOUR
AU  - K. A. Sukhov
TI  - Continuous traces of $\delta$-subharmonic functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 189
EP  - 197
VL  - 401
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a9/
LA  - ru
ID  - ZNSL_2012_401_a9
ER  - 
%0 Journal Article
%A K. A. Sukhov
%T Continuous traces of $\delta$-subharmonic functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 189-197
%V 401
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a9/
%G ru
%F ZNSL_2012_401_a9

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] U. Kheiman, P. Kennedi, Subgarmonicheskie funktsii, Mir, M., 1980