Chebyshev and Robin constants on algebraic curves

• Autorzy: Jesse Hart , Sione Ma`u
• Języki publikacji: EN

Abstrakty

EN

We define directional Robin constants associated to a compact subset of an algebraic curve. We show that these constants satisfy an upper envelope formula given by polynomials. We use this formula to relate the directional Robin constants of the set to its directional Chebyshev constants. These constants can be used to characterize algebraic curves on which the Siciak-Zaharjuta extremal function is harmonic.

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds
• 32U35: Pluricomplex Green functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 2
• Strony: 101-121

Daty

wydano

2015

Twórcy

autor

Jesse Hart

• Department of Mathematics, University of Auckland, Auckland, New Zealand

autor

Sione Ma`u

• Department of Mathematics, University of Auckland, Auckland, New Zealand

Identyfikatory

DOI

10.4064/ap115-2-1