- Tytuł:
- A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties
- Autorzy:
-
Braun, Rüdiger
Meise, Reinhold
Taylor, B. - Powiązania:
- https://bibliotekanauki.pl/articles/1293933.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Phragmén-Lindelöf principle
Sibony-Wong inequality - Opis:
- For complex algebraic varieties V, the strong radial Phragmén-Lindelöf condition (SRPL) is defined. It means that a radial analogue of the classical Phragmén-Lindelöf Theorem holds on V. Here we derive a sufficient condition for V to satisfy (SRPL), which is formulated in terms of local hyperbolicity at infinite points of V. The latter condition as well as the extension of local hyperbolicity to varieties of arbitrary codimension are introduced here for the first time. The proof of the main result is based on a local version of the inequality of Sibony and Wong. The property (SRPL) provides a priori} estimates which can be used to deduce more refined Phragmén-Lindelöf results for algebraic varieties.
- Źródło:
-
Annales Polonici Mathematici; 1999, 72, 2; 159-179
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł