Skip to main content
fixed typo in title
Link
Gerry Myerson
  • 39.9k
  • 10
  • 186
  • 247

maximun maximum of two plurisubharmonic

Source Link
vu viet
  • 750
  • 5
  • 15

maximun of two plurisubharmonic

Let $u,v$ be two plurisubharmonic functions in a domain $\Omega\subset \mathbb{C}^n.$ Then $w=\max$ {$u,v$} is plurisubharmonic. The support of $dd^c w$ is unclear in {$z: u(z)=v(z)$}

How to estimate $dd^c w$ by $dd^c u$ and $dd^c v$? Generally, is there any information on $dd^c$ of a combination of $"max", "min", "+,-"$ operators of a family of plursisubharmonic functions?