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Silvermatsu (talk | contribs) m →History |
Lutz Mattner (talk | contribs) m Improved (but surely not perfected) the "cone property" formulation of the set of plurisubharmonic functions. Before it was wrongly implied that the (which?) semicontinuous functions would form a vector space, and that in particular the plurisubharmonic function <math>-\infty</math> belonged to a vector space under usual pointwise operations. |
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==Properties==
*The set of plurisubharmonic functions
:* if <math>f</math> is a plurisubharmonic function and <math>c>0</math> a positive real number, then the function <math>c\cdot f</math> is plurisubharmonic,
:* if <math>f_1</math> and <math>f_2</math> are plurisubharmonic functions, then the sum <math>f_1+f_2</math> is a plurisubharmonic function.
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