Wyniki wyszukiwania

1

Characterization of smooth, compact algebraic curves in ℝ²

100%

Bos L., Levenberg N., Taylor B. A.

Banach Center Publications

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1995

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tom 31

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nr 1

125-134

2

Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

100%

Bonet J., Braun R. W., Meise R., Taylor B. A.

Studia Mathematica

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1991

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tom 99

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nr 2

155-184

3

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

100%

Braun R. W., Meise R., Taylor B. A.

Annales Polonici Mathematici

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1999

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tom 72

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nr 2

159-179

EN

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

1 Studia Mathematica

3 Taylor B. A.

2 Braun R. W.

2 Meise R.

1 Bonet J.

1 Bos L.

1 Levenberg N.

1 1999

1 1995

1 1991

Characterization of smooth, compact algebraic curves in ℝ²

Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

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