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Seminar on Geometric Complex Analysis
Seminar information archive ～04/25｜Next seminar｜Future seminars 04/26～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2006/04/24
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Jonas Wiklund (名古屋大学, JSPS fellow)
Monge-Ampére mass at the boundary on some domains with corner
Jonas Wiklund (名古屋大学, JSPS fellow)
Monge-Ampére mass at the boundary on some domains with corner
[ Abstract ]
The Monge-Ampére operator is a highly non-linear operator that assigns a positive measure to every plurisubharmonic function and the null-measure to every maximal plurisubharmonic measure, whenever it is well defined. We discuss the sweeping out of this measure to the boundary for functions that essentially vanish on the boundary, and show two examples that this boundary measure vanish outside the distinguished boundary. Namely for analytic polyhedrons and for the cross product of two hyperconvex domains. Some related open problems are also mentioned.
The Monge-Ampére operator is a highly non-linear operator that assigns a positive measure to every plurisubharmonic function and the null-measure to every maximal plurisubharmonic measure, whenever it is well defined. We discuss the sweeping out of this measure to the boundary for functions that essentially vanish on the boundary, and show two examples that this boundary measure vanish outside the distinguished boundary. Namely for analytic polyhedrons and for the cross product of two hyperconvex domains. Some related open problems are also mentioned.
