A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties

Rüdiger Braun; Reinhold Meise; B. Taylor

Annales Polonici Mathematici (1999)

  • Volume: 72, Issue: 2, page 159-179
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Braun, Rüdiger, Meise, Reinhold, and Taylor, B.. "A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties." Annales Polonici Mathematici 72.2 (1999): 159-179. <http://eudml.org/doc/262783>.

@article{Braun1999,
abstract = {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.},
author = {Braun, Rüdiger, Meise, Reinhold, Taylor, B.},
journal = {Annales Polonici Mathematici},
keywords = {Phragmén-Lindelöf principle; Sibony-Wong inequality; Phragmén-Lindelöf principles},
language = {eng},
number = {2},
pages = {159-179},
title = {A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties},
url = {http://eudml.org/doc/262783},
volume = {72},
year = {1999},
}

TY - JOUR
AU - Braun, Rüdiger
AU - Meise, Reinhold
AU - Taylor, B.
TI - A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties
JO - Annales Polonici Mathematici
PY - 1999
VL - 72
IS - 2
SP - 159
EP - 179
AB - 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.
LA - eng
KW - Phragmén-Lindelöf principle; Sibony-Wong inequality; Phragmén-Lindelöf principles
UR - http://eudml.org/doc/262783
ER -

References

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