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m →Differentiable plurisubharmonic functions: add internal link |
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::<math>\frac{\sqrt{-1}}{\pi}\partial\overline{\partial}\log|z|=dd^c\log|z|</math>.
It is nothing but [[Dirac measure]] at the origin 0 .
'''More Examples'''
* If <math>f</math> is an analytic function on an open set, then <math>\log|f|</math> is plurisubharmonic on that open set.
* Convex functions are plurisubharmonic
* If <math>\Omega</math> is a Domain of Holomorphy then <math>-\log (dist(z,\Omega^c))</math> is plurisubharmonic
* Harmonic functions are not necessarily plurisubharmonic
==History==
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