Chebyshev and Robin constants on algebraic curves
Volume 115 / 2015
Annales Polonici Mathematici 115 (2015), 101-121
MSC: Primary 32U35; Secondary 32C25.
DOI: 10.4064/ap115-2-1
Abstract
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.
