- Title: Richberg's smoothing procedure
for continuous strictly plurisubharmonic functions - Speaker: Dr. Tobias Harz (GAIA) - Abstract: I
will explain a classical result on smoothing of continuous strictly plurisubharmonic
functions due to R. Richberg. In particular, I will show the following: Let
$\Omega \subset \mathbb{C}^n$ be a domain and let $\varphi: \Omega \to \mathbb{R}$
be continuous and strictly plurisubharmonic. Then for every function $\lambda: \Omega
\to (0,\infty)$ there exists a $\mathcal{C}^\infty$-smooth strictly plurisubharmonic
function $\tilde{\varphi} : \Omega \to \mathbb{R}$ such that $\varphi <
\tilde{\varphi} < \varphi + \lambda$.
- Place: GAIA Seminar Room (#106, Math Science bldg.) |
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