Timeline for maximum of two plurisubharmonic
Current License: CC BY-SA 3.0
2 events
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| Aug 5, 2012 at 16:39 | comment | added | Margaret Friedland | In your example $\max \{u,v\}$ is a subharmonic function, so it satisfies $\Delta \max\{u,v\} \geq 0=\min \{\Delta u, \Delta v\}$ in the sense of distributions. So your example shows that the estimate $\Delta \max\{u,v\} \geq \min \{\Delta u, \Delta v\}$ cannot be in general improved when one of $u,v$ is harmonic. | |
| Aug 4, 2012 at 10:05 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |