On separately subharmonic functions (Lelong’s problem)

Sadullaev, A.. "On separately subharmonic functions (Lelong’s problem)." Annales de la faculté des sciences de Toulouse Mathématiques 20.S2 (2011): 183-187. <http://eudml.org/doc/219681>.

@article{Sadullaev2011,
abstract = {The main result of the present paper is : every separately-subharmonic function $u(x,y)$, which is harmonic in $y$, can be represented locally as a sum two functions, $u=u^\{*\} +U$, where $U$ is subharmonic and $u^\{*\}$ is harmonic in $y$ , subharmonic in $x$ and harmonic in $(x,y)$ outside of some nowhere dense set $S$.},
affiliation = {Mathematics department, National University of Uzbekistan, Vu Gorodok, 700174 Tashkent, Uzbekistan},
author = {Sadullaev, A.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {harmonic function; subharmonic function; separately subharmonic function},
language = {eng},
month = {4},
number = {S2},
pages = {183-187},
publisher = {Université Paul Sabatier, Toulouse},
title = {On separately subharmonic functions (Lelong’s problem)},
url = {http://eudml.org/doc/219681},
volume = {20},
year = {2011},
}

TY - JOUR
AU - Sadullaev, A.
TI - On separately subharmonic functions (Lelong’s problem)
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2011/4//
PB - Université Paul Sabatier, Toulouse
VL - 20
IS - S2
SP - 183
EP - 187
AB - The main result of the present paper is : every separately-subharmonic function $u(x,y)$, which is harmonic in $y$, can be represented locally as a sum two functions, $u=u^{*} +U$, where $U$ is subharmonic and $u^{*}$ is harmonic in $y$ , subharmonic in $x$ and harmonic in $(x,y)$ outside of some nowhere dense set $S$.
LA - eng
KW - harmonic function; subharmonic function; separately subharmonic function
UR - http://eudml.org/doc/219681
ER -