Directional Chebyshev constants on the boundary
Volume 134 / 2025
Annales Polonici Mathematici 134 (2025), 49-65
MSC: Primary 32U20
DOI: 10.4064/ap240917-3-5
Published online: 16 June 2025
Abstract
We prove results on the existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex $\Sigma \subset \mathbb R^d$ for (locally) regular compact sets $K\subset \mathbb C^d$.