On separately subharmonic functions (Lelong’s problem)
A. Sadullaev (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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The main result of the present paper is : every separately-subharmonic function , which is harmonic in , can be represented locally as a sum two functions, , where is subharmonic and is harmonic in , subharmonic in and harmonic in outside of some nowhere dense set .