Seminars: N. V. Shcherbina, On maximal plurisubharmonic functions which tends to infinity on an open piece of the boundary

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) February 19, 2024 14:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

On maximal plurisubharmonic functions which tends to infinity on an open piece of the boundary N. V. Shcherbina University of Wuppertal
Abstract: Let $D$ be a bounded domain in a Stein manifold and $U$ be an open strictly pseudoconvex piece of its boundary. We prove that if $F$ is a maximal plurisubharmonic function in $D$ which tends to infinity at $U$, then $F$ is identically equal to infinity on $D$. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09