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It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.
E. M. Chirka. "On the removal of subharmonic singularities of plurisubharmonic functions." Annales Polonici Mathematici 80.1 (2003): 113-116. <http://eudml.org/doc/280329>.
@article{E2003, abstract = {It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.}, author = {E. M. Chirka}, journal = {Annales Polonici Mathematici}, keywords = {plurisubharmonic function; removal of singularities}, language = {eng}, number = {1}, pages = {113-116}, title = {On the removal of subharmonic singularities of plurisubharmonic functions}, url = {http://eudml.org/doc/280329}, volume = {80}, year = {2003}, }
TY - JOUR AU - E. M. Chirka TI - On the removal of subharmonic singularities of plurisubharmonic functions JO - Annales Polonici Mathematici PY - 2003 VL - 80 IS - 1 SP - 113 EP - 116 AB - It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω. LA - eng KW - plurisubharmonic function; removal of singularities UR - http://eudml.org/doc/280329 ER -