Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only

• Autorzy: Rüdiger W. Braun , Reinhold Meise , B. A. Taylor
• Języki publikacji: EN

Abstrakty

EN

For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds
• 31C10: Pluriharmonic and plurisubharmonic functions
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 1
• Strony: 83-95

Daty

wydano

2006

Twórcy

autor

Rüdiger W. Braun

• Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstr. 1, 40225 Düsseldorf, Germany

autor

Reinhold Meise

• Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstr. 1, 40225 Düsseldorf, Germany

autor

B. A. Taylor

• Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, U.S.A.

Identyfikatory

DOI

10.4064/ap88-1-6